<prompt> Kiasi 8 jina 1,2,4Kupata idadi ya njia ya kufanya mabadiliko kwa kiasi fulani kwa kutumia sarafu ya denominations fulani.  <response>: In order to find the number of ways to make change for the given amount using coins of given denominations, we can use dynamic programming to solve this problem. We can create an array dp of size amount 1, such that dpi represents the number of ways to make change for i cents. For example, when Amount 8 and Denominations 1, 2, 4:const int amount 8;const int coins 1, 2, 4;int dpamount 1;memsetdp, 0, sizeofdp;dp0 1;for int i 0; i 3; i for int j coinsi; j amount; j dpj dpj - coinsi; cout dpamount endl; 6As we can see, the number of ways to make change for amount 8 using coins of denominations 1, 2, 4 is 6. 