Use Fisher-Yates instead

gistfile1.js

var results = [];
for (var i = 0; i < 60000; i++) {
	var arr = ['A', 'B', 'C'];
	arr.sort( function() { return 0.5 - Math.random() } );
	results.push(arr);
};

var dict = {};

for (var i = results.length - 1; i >= 0; i--) {
	var prop = results[i].join('');
	if (dict.hasOwnProperty(prop))
		dict[prop]++;
	else
		dict[prop]=1;
}

for (var key in dict) {
    if (dict.hasOwnProperty(key)) {
      console.log(key+":"+dict[key]);  
    }
}

Example result:
ABC:14873
BCA:7451
CAB:7457
CBA:7515
BAC:15119
ACB:7585