SOLUTION: How many ways are there for 15 boys and 15 girls to pair up into 15 different heterosexual couples?

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Question 490132: How many ways are there for 15 boys and 15 girls to pair up into 15 different heterosexual couples?
Answer by stanbon(57219) About Me  (Show Source):
You can put this solution on YOUR website!
How many ways are there for 15 boys and 15 girls to pair up into 15 different heterosexual couples?
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If you have 2 boys (ab) and 2 girls (AB) how many pairings are there?
aA
aB
bA
bB
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Each boy can pair with each girl.
Ans: 2*2 4 pairs
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Carry that logic to 3 of each or 4 of each or 15 of each.
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Cheers,
Stan H.