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Q.

There are 4 men and 5 women in group A, And 5 men and 4 women in group B if 4 persons are selected from each group then number of ways of selecting 4 men and 4 women is____  

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a

5262

b

5626

c

6225

d

2265

answer is B.

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Detailed Solution

 

 Group AGroup Bcombinations
 4m4w 4C44C4=1
 3m,1w1m,3w 4C35C15C14C3=400
 2m,2w3m,1w 4C25C25C24C2=3600
 1m,3w3m,1wC1   4C3   5C3   5C1   4=1600
 4w4mC4   5C4   5=25

Total selections =5626

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