SOLUTION: Question: In how many ways can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls? Attempt: I started off by looking at the boys seperately, so 6 boys,

Question 653377: Question: In how many ways can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls?
Attempt: I started off by looking at the boys seperately, so 6 boys, two spots in the group should be 6P5= 30. Same thing for girls, 4P3=24. My final step was multiplying them together, 30x24 to achieve 720, operating on the principle of fundamental counting. However, I was told this answer of 720 was incorrect.
Would someone please show me how to do this question?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I don't know where you got the idea that you needed to use permutations -- If the two boys are Bobby and Billy that would be the same as if they were Billy and Bobby, right?

You need the number of combinations of 6 boys taken 2 (NOT 5) at a time times the number of combinations of 4 girls taken 3 at a time.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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