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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 A	Group B	combinations
	4m	4w	$^{4} {C_{4}}^{4} C_{4} = 1$
	3m,1w	1m,3w	$^{4} {C_{3}}^{5} {C_{1}}^{5} {C_{1}}^{4} C_{3} = 400$
	2m,2w	3m,1w	$^{4} {C_{2}}^{5} {C_{2}}^{5} {C_{2}}^{4} C_{2} = 3600$
	1m,3w	3m,1w	${}^{4}C_{1} {}^{5}C_{3} {}^{5}C_{3} {}^{4}C_{1} = 1600$
	4w	4m	${}^{5}C_{4} {}^{5}C_{4} = 25$

Total selections =5626

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