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Problem:

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?

rohitaop  May 28, 2018
 #1
avatar+92888 
+1

Problem:

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?

 

1 man and 2 women    5     *   6C2

1 man and 3 women    5     *   6C3

1 man and 4 women    5      *  6C4

2 man and 2 women    5C2  * 6C2

2 man and 3 women    5C2  * 6C3

2 man and 4 women    5C2  * 6C4

3 man and 2 women    5C3  * 6C2

3 man and 3 women   5C3  * 6C3

3 man and 4 women   5C3  * 6C4

 

Work all those out and add them together.

Melody  May 28, 2018
 #2
avatar
0

1050

 

75

100

75

150

200

150

150

150

 

coolcoolcool

Guest May 29, 2018

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