In how many different ways can 4 identical blue pants and 4 identical red pants be shared among 8 children such that each child receives a pant? Choices
A) 10320 B) 42320 C) 40320 D) 20320 E) 50320
BBB RRR   Therefore total number of ways is   6! but there are two groups of 3 identical things.   Therefore total number of "different" ways is   8!/ (4!) (4!) = 40320 ANS:40320
<result>C</result>
In how many different ways can 4 identical blue pants and 4 identical red pants be shared among 8 children such that each child receives a pant?