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March 2nd, 2010, 12:41 PM   #1
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Combinations/Permutations/multiplication problem

I desperately need help! I have a test tomorrow!

Five boys and five girls stand in a line.

a. How many arrangements are possible?

b. How many arrangements are possible if the boys and girls stand alternately?
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March 2nd, 2010, 05:42 PM   #2
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Re: Combinations/Permutations/multiplication problem

Quote:
Originally Posted by NeedHomeworkHelp
I desperately need help! I have a test tomorrow!

Five boys and five girls stand in a line.

a. How many arrangements are possible?

b. How many arrangements are possible if the boys and girls stand alternately?
These are basic permutation problems.

a. 10!
b slightly more complicate 5! each for boys and girls separately. 2 possibilities for first in line (boy or girl) Net result 2x5!x5!
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