In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants? Pick one.
A) 20	B) 2662	C) 519	D) 46	E) 1
1st Child: 6 has options   2nd Child: 5 has options…   Therefore, for all kids: 6 x 5 x 4 x 3 x 2 = 720 arrangements.   Since the reds are identical, we divide by 3! and since the greens are identical, we divide by another 3!   So, in all, 720/[ 3! X 3! ] = 20 ways.   (e.g. 20nswer: 20)
<result>A</result>
In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants?