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Question : 52
Total: 54
In a high school, a committee has to be formed form a group of 6 boys M 1 , M 2 , M 3 , M 4 , M 5 , M 6 and 5 girls G 1 , G 2 , G 3 , G 4 , G 5
i. Letα 1 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. Letα 2 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. Letα 3 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. Letα 4 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 M 1 and G 1 are NOT in the committee together
The correct options is:
i. Let
ii. Let
iii. Let
iv. Let
List - I | List - II |
---|---|
P. The value of | 1. 136 |
Q. The value of | 2. 189 |
R. The value of | 3. 192 |
S. The value of | 4. 200 |
5. 381 | |
6. 461 |
P | Q | R | S | |
---|---|---|---|---|
A) | 4 | 6 | 2 | 1 |
B) | 1 | 4 | 2 | 3 |
C) | 4 | 6 | 5 | 2 |
D) | 4 | 2 | 3 | 1 |
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