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A group consists of 4 girls and 7 boys. in how many ways a team of 5 members be selected consisting of 2 girls and 3 boys.
  • a)
    120 ways
  • b)
    210 ways
  • c)
    2! x 3!
  • d)
    11C5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A group consists of 4 girls and 7 boys. in how many ways a team of 5 m...
Total number of girls in the group = 4
Total number of boys in the group = 7
Probability of selecting atleast three boy and two girl = 4C2 × 7C3
= 210
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Community Answer
A group consists of 4 girls and 7 boys. in how many ways a team of 5 m...
Total number of girls in the group = 4
Total number of boys in the group = 7
Probability of selecting atleast three boy and two girl = 4C2 × 7C3
= 210
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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 at least 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, 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 least 2 girls and such that both M1 and G1 are NOT in the committee together.The correct option is

In a high school, a committee has to be formed from a group of 6 boys M1, M2, M3, M4, M5, M6 and 5 girlsG1, G2, G3, G4, G5.(i) Let α1 be the total number of ways in which the committee can be formed such that the committee has5 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 hasat least 2 members, and having an equal number of boys and girls.(iii) Let α3be the total number of ways in which the committee can be formed such that the committee has5 members, at least 2 of them being girls.(iv) Let α4be the total number of ways in which the committee can be formed such that the committee has4 members, having atleast 2 girls and such that both M1 and G1 are NOT in the committee together.The correct option is

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A group consists of 4 girls and 7 boys. in how many ways a team of 5 members be selected consisting of 2 girls and 3 boys.a)120 waysb)210 waysc)2! x 3!d)11C5Correct answer is option 'B'. Can you explain this answer?
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