A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends. Unfortunately, none of the husband’s friends will attend a party that is attended by any of his wife’s friends. How many different parties of size 4 can the couple have?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
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A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends. Unfortunately, none of the husband’s friends will attend a party that is attended by any of his wife’s friends. How many different parties of size 4 can the couple have? 

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C(8,4) + C(9,4). Or 70+126= 196

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