SOLUTION: A group of 9 males and 6 females are trained for a competition. In the end only 4 males and 3 females can take part in the actual competition. How many combinations are possi

Question 1019257: A group of 9 males and 6 females are trained for a
competition. In the end only 4 males and 3 females
can take part in the actual competition. How many
combinations are possible to construct the team?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
A group of 9 males and 6 females are trained for a
competition. In the end only 4 males and 3 females
can take part in the actual competition. How many
combinations are possible to construct the team?

9 males, choose 4 = 9C4 = 126 ways to choose 4 males.

For each of those 9C4 or 126 ways to choose 4 males, we have:

6 females, choose 3 = 6C3 = 20 ways to choose 3 females.

That's (9C4)(6C3) = (126)(20) = 2520 ways total.

Edwin

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