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In how many different ways can 3 men and 4 women be placed into one group of three people and one group of four people if there must be at least one man and one woman in each group?

 Jul 4, 2022
 #1
avatar+124676 
+1

Here's my approach to this one

 

We only need to  consider the group of three.......the other group of 4 will meet our requirement automatically

 

Case 1  - 2 men and 1 woman in the group of 3

We have the choice of  (3 men x 2 men x 4 women) =  24 groups

 

Case 2  - 1 man  and  2 women in the group of 3

We have the choice of  (3 men x 4 women x 3 women ) =  36 groups 

 

So

 

24 +  36 =    60 ways

 

 

cool cool cool

 Jul 4, 2022
 #2
avatar+12 
0

thank you)

 Jul 5, 2022

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