In how many different ways can 3 identical gold shirts and 3 identical sliver shirts be distributed among 6 children such that each child receives a shirt? Select the correct option.
A) 100
B) 400
C) 20
D) 96416
E) 62
Approach 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 golds are identical, we divide by 3!; Since the silvers are identical, we divide by another 3!   So: in all, 720/[ 3! X 3! ] = 20 ways.   (e.g. Answer: 20)
<result>C</result>
In how many different ways can 3 identical gold shirts and 3 identical sliver shirts be distributed among 6 children such that each child receives a shirt?