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?

Question: 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?

Solution:
There are 6 children and each child receives one shirt.
We only need to choose which 3 children will receive green shirts.
The remaining 3 children will automatically receive red shirts.

∴ Number of ways = ⁶C₃
= 6!/3!(6 - 3)!
= (6 × 5 × 4)/(3 × 2 × 1)
= 20

Correct Answer: ক) 20