makeChangeRecursiveFinal.js

function waysToReturnChange(denominations, numOfCoins, amount) {
    
    if(amount === 0) return 1; // Perfect!
    
    if(amount < 0) return 0; // No solution exists for negative amount
    
    if(numOfCoins < 0 && amount > 0) return 0; // We don't have coins left!
    
    console.log('checking ways to make ' + amount + ' with ' + denominations.slice(numOfCoins));

    return waysToReturnChange(denominations, numOfCoins, amount - denominations[numOfCoins]) + 
           waysToReturnChange(denominations, numOfCoins - 1, amount);
}