In how many different ways can 4 physics, 2 math, and 2 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) 378
B) 432
C) 456
D) 524
E) 576
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 4!*2!*2! which is 3!*4!*2!*2! = 576   The answer is 576.
<result>E</result>
In how many different ways can 4 physics, 2 math, and 2 chemistry books be arranged in a row so that all books of the same subject are together?