You can do something like this:
var arrayNum = ['One', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine'];
var singleRandom = [];
for (var i = 0; i < 3; i++) {
singleRandom.push(Math.floor(Math.random() * arrayNum.length));
}
console.log(arrayNum[singleRandom[0]]);
console.log(arrayNum[singleRandom[1]]);
console.log(arrayNum[singleRandom[2]]);