Use recursion.
int findCombinationsCount(int amount, int coins[]) {
return findCombinationsCount(amount, coins, 0);
}
int findCombinationsCount(int amount, int coins[], int checkFromIndex) {
if (amount == 0)
return 1;
else if (amount < 0 || coins.length == checkFromIndex)
return 0;
else {
int withFirstCoin = findCombinationsCount(amount-coins[checkFromIndex], coins, checkFromIndex);
int withoutFirstCoin = findCombinationsCount(amount, coins, checkFromIndex+1);
return withFirstCoin + withoutFirstCoin;
}
}
You should check this implementation though. I don’t have a Java IDE here, and I’m a little rusty, so it may have some errors.