SOLUTION: Your science group has 9 boys and 12 girls in it. You want them to work on a project together. how many different groups of 3 can you create? and How many different groups of 6

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Question 1135819: Your science group has 9 boys and 12 girls in it. You want them to work on a project together. how many different groups of 3 can you create?
and How many different groups of 6 can you create if you want 3 boys and 3 girls in the group?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) There are 9+12=21 people in the group; you can choose any 3 of them.

C%2821%2C3%29+=+%2821%2A20%2A19%29%2F%283%2A2%2A1%29+=+1330

1330 different groups of 3 if there are no restrictions.

(2) Now you have to choose 3 of the 9 boys AND 3 of the 12 girls. The "AND" means you are going to multiply the two numbers to get the final answer.

C%289%2C3%29%2AC%2812%2C3%29+=+84%2A220+=+18480

18480 different groups of 6 consisting of 3 boys and 3 girls.