Finding how many combinations of change can be produced based on a total amount and list of denominations. Note that the Underscore.js dependency is required for legibility.

countChange.js

(function(_) {
  var money = 300;
  var coins = [5, 10, 20, 50, 100, 200, 500];
  
  var countChange = function(money, coins) {
    if (money == 0) return 1;
    else if (_.isEmpty(coins) || money < 0) return 0;
    else return countChange(money - _.head(coins), coins) + countChange(money, _.tail(coins));
  };
  
  // 1022
  console.log(countChange(money, coins));
}).call(this, _);