Find Number of Ways

[nycmathguy]

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).

 

[MathLover1]

correct

 

[nycmathguy]

correct

Not too bad. All this work was just a guess on my part.