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In a high school, a committee has to be ...

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` . Let `alpha_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 `alpha_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) Let `alpha_3` be the total number of ways in which the committee can be formed such that the committee has 5 members, at least 2 of them being girls. (iv) Let `alpha_4` be the total number of ways in which the committee can be formed such that the committee has 4 members, having at least 2 girls and such that both `M_1` and `G_1` are NOT in the committee together. LIST-I LIST-II P. The value of `alpha_1` is 1. `136` Q. The value of `alpha_2` is 2. `189` R. The value of `alpha_3` is 3. `192` S. The value of `alpha_4` is 4. `200` 5. `381` 6. `461` The correct option is: `Prarr4; Qrarr6; Rrarr2; Srarr1` (b) `Prarr1;Qrarr4; Rrarr2; Srarr3` (c) `Prarr4; Qrarr6; Rrarr5; Srarr2` (d) `Prarr4; Qrarr2; Rrarr3; Srarr1`

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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 . Let alpha_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 alpha_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) Let alpha_3 be the total number of ways in which the committee can be formed such that the committee has 5 members, at least 2 of them being girls. (iv) Let alpha_4 be the total number of ways in which the committee can be formed such that the committee has 4 members, having at least 2 girls and such that both M_1 and G_1 are NOT in the committee together. LIST-I LIST-II P. The value of alpha_1 is 1. 136 Q. The value of alpha_2 is 2. 189 R. The value of alpha_3 is 3. 192 S. The value of alpha_4 is 4. 200 5. 381 6. 461 The correct option is: P->4;\ \ Q->6;\ \ R->2;\ \ S->1 (b) P->1;\ \ Q->4;\ \ R->2;\ \ S->3 (c) P->4;\ \ Q->6;\ \ R->5;\ \ S->2 (d) P->4;\ \ Q->2;\ \ R->3;\ \ S->1

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