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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:
(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:
- a)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
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a high school, a committee has to be formed from a group of 6 boys ...
The number of ways of selecting 3 boys and 2 girls is calculated as below,
The number of ways of selecting boys and girls equal in number is,
The number of ways of selecting 5 having atleast 2 girls is,
The number of ways of selecting students in such a way that G1 and M2 are always included.
Hence, option (C is correct).
The number of ways of selecting boys and girls equal in number is,
The number of ways of selecting 5 having atleast 2 girls is,
The number of ways of selecting students in such a way that G1 and M2 are always included.
Hence, option (C is correct).Most Upvoted Answer
In a high school, a committee has to be formed from a group of 6 boys ...
The number of ways of selecting 3 boys and 2 girls is calculated as below,
The number of ways of selecting boys and girls equal in number is,
The number of ways of selecting 5 having atleast 2 girls is,
The number of ways of selecting students in such a way that G1 and M2 are always included.
Hence, option (C is correct).
The number of ways of selecting boys and girls equal in number is,
The number of ways of selecting 5 having atleast 2 girls is,
The number of ways of selecting students in such a way that G1 and M2 are always included.
Hence, option (C is correct).Free Test
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In a high school, a committee has to be formed from a group of 6 boys ...
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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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer?
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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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer?.
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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer?.
Solutions for 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Here you can find the meaning of 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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:a)P → 4; Q→ 6; R→ 2; S →1b)P →1; Q → 4; R → 2; S→3c)P → 4; Q→ 6; R→5; S → 2d)P → 4; Q → 2; R →3; S→1Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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