In how many different ways can 3 physics, 2 math, and 3 chemistry books be arranged in a row so that all books of the same subject are together? Choose the correct choice from the following answers: A) 432 B) 456 C) 512 D) 556 E) 624
Let's think of each subject as a group so there are 3 groups.   The number of ways to arrange these 3 groups is 3!   Within each subject the books can be re-arranged.   So we need to multiply 3! by 3!*2!*3! which is 3!*3!*2!*3! = 432   The answer is 432.
<result>A</result>
In how many different ways can 3 physics, 2 math, and 3 chemistry books be arranged in a row so that all books of the same subject are together?