Identical Green & Red Shirts

[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

I sense this to be a probability question in disguise.

Is the set up like this?

Using Crn to represent the combination formula.

6C3 • 6C3

You say?

 

[MathLover1]

6!/ ((3!) (3!)) = 20 ways that each child receives a shirt

 

[nycmathguy]

6!/ ((3!) (3!)) = 20 ways that each child receives a shirt

How did you come to that conclusion? How did you know what to do based on the wording given?

 

[MathLover1]

it's just combination problem
C(6,3) -> choose 3 out of 6

 

[nycmathguy]

it's just combination problem
C(6,3) -> choose 3 out of 6

View attachment 3103

A combination problem hidden in all those words.