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In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?(A)20(B) 40(C) 216(D) 720(E )729This looks like a combination problem.6C3 = 6!/3!(6-3)!6C3 = 720/6(3!)6C3 = 720/(6)(6)6C3 = 720/366C3 = 20 waysI say choice (A).
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
(A)20
(B) 40
(C) 216
(D) 720
(E )729
This looks like a combination problem.
6C3 = 6!/3!(6-3)!
6C3 = 720/6(3!)
6C3 = 720/(6)(6)
6C3 = 720/36
6C3 = 20 ways
I say choice (A).