How to get intuition for a specific DP problem

<pre>public class coinChangeCombination {
    public static void main(String[] args){
        int[] coins = {2, 3, 5, 6};
        int target = 7;
        System.out.println()
        System.out.println(coinRecursive(0, target, coins, 0));
    }    

    //basic recursion
    public static int coinRecursive(int current, int target, int[] coins, int index){
        if(current > target) return 0;
        if(current == target) return 1;
        int count = 0;
        for(int i = index; i < coins.length; i++){
            int res = coinRecursive(current+coins[i], target, coins, i);
            count += res;
        }
        return count;
    }
}