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A club with five men and six women wish to form a committee. The number of men must be between 1 and 3 (inclusive), and the number of women must be between 2 and 4 (inclusive). How many different committees can be formed?

 May 23, 2020
edited by JaritoDaFrito  May 23, 2020
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A club with five men and six women wish to form a committee. The number of men must be between 1 and 3 (inclusive), and the number of women must be between 2 and 4 (inclusive). How many different committees can be formed?

 

Choose 1, 2 or 3 men from 5

How many ways to choose 1?

How many ways to choose 2?

How many ways to choose 3?

How many possible ways to choose the men altogether?

 

 

 

Choose 2,3,or 4 women from 6

Continue as I did for the men.

 

Multiply the two answers together.

 

Now you try :)     Ask questions if you want.

 

No one else answer over me thanks.

 May 24, 2020

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