SOLUTION: How many ways can we form a squad of 3 from 6 men and 5 girls, if precisely two men are on the team, but two girls and a men can't be together.

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Question 776063: How many ways can we form a squad of 3 from 6 men and 5 girls, if precisely two men are on the team, but two girls and a men can't be together.
Found 2 solutions by psbhowmick, gohan112:
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
The team of 3 can only contain two men and one girl.

One girl can be selected from the group of 5 in 5C1 = 5 ways.
Two men can be selected from the group of 6 in 6C2 = 15 ways.

Selection from the group of girls and men are associated with each other so total no. of selections possible is 5 x 15 = 75.

Answer by gohan112(1) About Me  (Show Source):
You can put this solution on YOUR website!
Could it be as simple as removing 1 men from a team and 2 girls and you get
5C2 and 3C1 which combined means 5C2*3C1 = 30 ways that you can form a team of three.