on a 15 item test the first five problems have 4 choices the next five have 3 choices and the last five problems are true or false. If jared knows the he is correct on problems 3, 11 and 15 how many ways can he answer the test? Solution 4C1 x 4C1 x 4C1x4C1 X 3c1x 3C1 x 3C1x 3C1x 3C1 x 2C1x 2C1 x 2C1= 44x 35x 23 ( as jared knows he is corrcet on problems, 3, 11 and 15 , they will not be a part of combinations).