In a high school, a committee has to be formed from 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 atleast 2 members, and having an equal number of boys and girls. (iii) Let α3 be the total number of ways in which the committee can be formed such that the committee has 5 members, atleast 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, atleast 2 girls and such that both M1 and G1 are NOT in the committee together. LIST−ILIST−IIP.The value of α1 is1.136Q.The value of α2 is2.189R.The value of α3 is3.192P.The value of α4 is4.2005.3816.461 The correct option is:

In a high school, a committee has to be formed from a group of 6 boys

1.	In a high school, a committee has to be formed from 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 atleast 2 members, and having an equal number of boys and girls. (iii) Let α3 be the total number of ways in which the committee can be formed such that the committee has 5 members, atleast 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, atleast 2 girls and such that both M1 and G1 are NOT in the committee together. LIST−ILIST−IIP.The value of α1 is1.136Q.The value of α2 is2.189R.The value of α3 is3.192P.The value of α4 is4.2005.3816.461 The correct option is:
Answer» In a high school, a committee has to be formed from 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) Let $α_{1}$ 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) Let $α_{2}$ be the total number of ways in which the committee can be formed such that the committee has atleast $2$ members, and having an equal number of boys and girls. (iii) Let $α_{3}$ be the total number of ways in which the committee can be formed such that the committee has $5$ members, atleast $2$ of them being girls. (iv) Let $α_{4}$ be the total number of ways in which the committee can be formed such that the committee has $4$ members, atleast $2$ girls and such that both $M_{1}$ and $G_{1}$ are NOT in the committee together. $\begin{matrix} L I S T - I & L I S T - I I P . & The value of α_{1} is & 1. & 136 Q . & The value of α_{2} is & 2. & 189 R . & The value of α_{3} is & 3. & 192 P . & The value of α_{4} is & 4. & 200 5. & 381 6. & 461 \end{matrix}$ The correct option is:

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