--TEST--
Check correct permutations
--FILE--
<?php

require_once 'Math/Combinatorics.php';

$combinatorics = new Math_Combinatorics;
var_dump($combinatorics->permutations(array(
    'one'   => 'a',
    'two'   => 'b',
    'three' => 'c',
    'four'  => 'd',
    'five'  => 'e',
    'six'   => 'f',
    'seven' => 'g',
    'eight' => 'h',
    ), 3));

?>
--EXPECT--
array(336) {
  [0]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["three"]=>
    string(1) "c"
  }
  [1]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["two"]=>
    string(1) "b"
  }
  [2]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [3]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [4]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [5]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [6]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["four"]=>
    string(1) "d"
  }
  [7]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["two"]=>
    string(1) "b"
  }
  [8]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [9]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [10]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [11]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [12]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["five"]=>
    string(1) "e"
  }
  [13]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["two"]=>
    string(1) "b"
  }
  [14]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [15]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [16]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [17]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [18]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["six"]=>
    string(1) "f"
  }
  [19]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
    ["two"]=>
    string(1) "b"
  }
  [20]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
  }
  [21]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
  }
  [22]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [23]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [24]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["seven"]=>
    string(1) "g"
  }
  [25]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
    ["two"]=>
    string(1) "b"
  }
  [26]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
  }
  [27]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
  }
  [28]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [29]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [30]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
    ["eight"]=>
    string(1) "h"
  }
  [31]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
    ["two"]=>
    string(1) "b"
  }
  [32]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
  }
  [33]=>
  array(3) {
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
  }
  [34]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
    ["two"]=>
    string(1) "b"
  }
  [35]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["two"]=>
    string(1) "b"
    ["one"]=>
    string(1) "a"
  }
  [36]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["four"]=>
    string(1) "d"
  }
  [37]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["three"]=>
    string(1) "c"
  }
  [38]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [39]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [40]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [41]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [42]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["five"]=>
    string(1) "e"
  }
  [43]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["three"]=>
    string(1) "c"
  }
  [44]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [45]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [46]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [47]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [48]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["six"]=>
    string(1) "f"
  }
  [49]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
    ["three"]=>
    string(1) "c"
  }
  [50]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
  }
  [51]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
  }
  [52]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [53]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [54]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["seven"]=>
    string(1) "g"
  }
  [55]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
    ["three"]=>
    string(1) "c"
  }
  [56]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
  }
  [57]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
  }
  [58]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [59]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [60]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
    ["eight"]=>
    string(1) "h"
  }
  [61]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
    ["three"]=>
    string(1) "c"
  }
  [62]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
  }
  [63]=>
  array(3) {
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
  }
  [64]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
    ["three"]=>
    string(1) "c"
  }
  [65]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["three"]=>
    string(1) "c"
    ["one"]=>
    string(1) "a"
  }
  [66]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["five"]=>
    string(1) "e"
  }
  [67]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["four"]=>
    string(1) "d"
  }
  [68]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [69]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [70]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [71]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [72]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["six"]=>
    string(1) "f"
  }
  [73]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
    ["four"]=>
    string(1) "d"
  }
  [74]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
  }
  [75]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
  }
  [76]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [77]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [78]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["seven"]=>
    string(1) "g"
  }
  [79]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
    ["four"]=>
    string(1) "d"
  }
  [80]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
  }
  [81]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
  }
  [82]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [83]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [84]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
    ["eight"]=>
    string(1) "h"
  }
  [85]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
    ["four"]=>
    string(1) "d"
  }
  [86]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
  }
  [87]=>
  array(3) {
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
  }
  [88]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
    ["four"]=>
    string(1) "d"
  }
  [89]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["four"]=>
    string(1) "d"
    ["one"]=>
    string(1) "a"
  }
  [90]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["six"]=>
    string(1) "f"
  }
  [91]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
    ["five"]=>
    string(1) "e"
  }
  [92]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
  }
  [93]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
  }
  [94]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [95]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [96]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["seven"]=>
    string(1) "g"
  }
  [97]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
    ["five"]=>
    string(1) "e"
  }
  [98]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
  }
  [99]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
  }
  [100]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [101]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [102]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
    ["eight"]=>
    string(1) "h"
  }
  [103]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
    ["five"]=>
    string(1) "e"
  }
  [104]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
  }
  [105]=>
  array(3) {
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
    ["eight"]=>
    string(1) "h"
  }
  [106]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["one"]=>
    string(1) "a"
    ["five"]=>
    string(1) "e"
  }
  [107]=>
  array(3) {
    ["eight"]=>
    string(1) "h"
    ["five"]=>
    string(1) "e"
    ["one"]=>
    string(1) "a"
  }
  [108]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
    ["seven"]=>
    string(1) "g"
  }
  [109]=>
  array(3) {
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
    ["six"]=>
    string(1) "f"
  }
  [110]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
  }
  [111]=>
  array(3) {
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
    ["seven"]=>
    string(1) "g"
  }
  [112]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["one"]=>
    string(1) "a"
    ["six"]=>
    string(1) "f"
  }
  [113]=>
  array(3) {
    ["seven"]=>
    string(1) "g"
    ["six"]=>
    string(1) "f"
    ["one"]=>
    string(1) "a"
  }
  [114]=>
  array(3) {
    ["one"]=>
    string(1) "a"
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