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A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, including Mark?

 May 7, 2024
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We should first note that, because Mark must be on the committee, there are 19 people remaining to choose from. Also, because Mark must be on the committee, so there are 6 spots remaining.

 

Therefore, the answer is just \(\binom{19}{6}\)

\(=27132\)

 May 8, 2024

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