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

 Mar 6, 2023
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A baking club wants to form an executive committee.  There are 10 people in the baking club, including Mark.  In how many ways can the baking club form an executive committee with 3 people?

 

 

 

 

 

To form an executive committee of 3 people out of 10 members, we need to select 3 people out of 10, and the order in which they are selected does not matter. This can be calculated using the combination formula:

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nCk = n! / (k! * (n-k)!)

where n is the total number of people (10), and k is the number of people we want to choose (3).

Plugging in the values, we get:

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10C3 = 10! / (3! * (10-3)!) = 120

 

Therefore, there are 120 possible committees that can be formed.

 Mar 7, 2023

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