SOLUTION: A team of 4 students is to be selected for a competition. There are 8 boys and 12 girls to choose from. If the team is to include atleast 1 girl and 1 boy, how many ways can a team

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Question 968562: A team of 4 students is to be selected for a competition. There are 8 boys and 12 girls to choose from. If the team is to include atleast 1 girl and 1 boy, how many ways can a team be selected?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
First we find the number of teams of 4 students without regard to gender.

20 students Choose 4 = 20C4 = %22%22=%22%224845

Then we find the number of teams with all 4 boys to subtract from that number.

8 boys Choose 4 = 8C4 = %22%22=%22%2270

And we find the number of teams with all 4 girls to subtract from that number,
too.

12 girls Choose 4 = 12C4 = %22%22=%22%22495

Answer: 4845 - 70 - 495 = 4280.

Edwin