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Permutations and Combinations

Section: Mathematics

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Question : 13

Total: 27

In a high school, a committee has to be formed form a group of 6 boys M1,M2,M3,M4,M5,M6 and 5 girls G1,G2,G3,G4,G5
i. Let α1 be the total number of ways in which the committee can be formed such that the committee has 5 members, having exactly 3 boys and 2 girls
ii. Let α2 be the total number of ways in which the committee can be formed such that the committee has at least 2 members, and having an equal number of boys and girls
iii. Let α3 be the number of ways in which the committee can be formed such that the committee has 5 numbers, at least 2 of them being girls
iv. Let α4 be the total number of ways in which the committee can be formed such that the committee has 4 members, having at lest 2 girls and such that both M1 and G1 are NOT in the committee together

List - I	List - II
P. The value of α1 is	1. 136
Q. The value of α2is	2. 189
R. The value of α3is	3. 192
S. The value of α4is	4. 200
	5. 381
	6. 461

The correct options is:

	P	Q	R	S
A)	4	6	2	1
B)	1	4	2	3
C)	4	6	5	2
D)	4	2	3	1

[JEE Adv 2018 P2]

A
B
C
D

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