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a local business club has 7 exclusive board members and 31 General members and how many committees of five members can be chosen so that only general managers are included

Sagot :

We need to choose 5 members from the general only

The number of general members = 31

As the arrangement is not required

So, the number of committees will be:

[tex]31C5=\frac{31!}{(31-5)!\cdot5!}=169,911[/tex]

so, the answer will be 169,911 committees

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