In how many different ways can 3 identical green boots and 3 identical red boots be distributed among 6 people such that each person receives a pair of boots? Options
A) 7209  B) 4059659  C) 2169  D) 20  E) 7291
How to solve:   1st Person: 6 has options   2nd Person: 5 has options…   Therefore, for all people: 6 x 5 x 4 x 3 x 2 = 720 arrangements.   Since the reds are identical, we divide by 3! Since the greens are identical, we divide by another 3!   So: in all, 720/[ 3! X 3! ] = 20 ways.   (e.g. Answer: 20)
<result>D</result>
In how many different ways can 3 identical green boots and 3 identical red boots be distributed among 6 people such that each person receives a pair of boots?