SOLUTION: In how many ways can a doubles game of tennis be arranged from ten boys and twelve girls if each side must have one boy and one girl?

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Question 1168540: In how many ways can a doubles game of tennis be arranged from ten boys and twelve girls if each side must have one boy and one girl?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The first team (boy,girl) can be arranged in 10*12 = 120 ways.


After that, the second team (boy,girl) can be arranged in 9*11 = 99 ways.


Such teams can be combined in  %28120%2A99%29%2F2 = 60*99 = 5940 different ways for a game.    ANSWER

Solved.


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This problem was just posted and solved at this forum approximately a week ago under this link

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1168171.html

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1168171.html


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