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In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.
- a)2,646
- b)1,722
- c)2,702
- d)980
Correct answer is option 'C'. Can you explain this answer?
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In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if...
Solution:
In this problem, we have to form a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory.
Step 1: Select 2 girls out of 8 girls in 8C2 ways. (Since 2 girls are compulsory)
Step 2: Select 3 members from remaining 5 girls and 7 boys in (5C3 + 7C3) ways.
Step 3: Total number of ways of forming a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory = 8C2 × (5C3 + 7C3)
Step 4: Calculation
8C2 = (8!)/(2! × 6!) = 28
5C3 = (5!)/(3! × 2!) = 10
7C3 = (7!)/(3! × 4!) = 35
Total number of ways of forming a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory = 28 × (10+35) = 28 × 45 = 1260
Hence, option (c) 2,702 is the correct answer.
In this problem, we have to form a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory.
Step 1: Select 2 girls out of 8 girls in 8C2 ways. (Since 2 girls are compulsory)
Step 2: Select 3 members from remaining 5 girls and 7 boys in (5C3 + 7C3) ways.
Step 3: Total number of ways of forming a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory = 8C2 × (5C3 + 7C3)
Step 4: Calculation
8C2 = (8!)/(2! × 6!) = 28
5C3 = (5!)/(3! × 2!) = 10
7C3 = (7!)/(3! × 4!) = 35
Total number of ways of forming a team of 5 members out of 7 boys and 8 girls, where 2 girls are compulsory = 28 × (10+35) = 28 × 45 = 1260
Hence, option (c) 2,702 is the correct answer.
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In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if...
Ya 2702, since 2 girls are compulsory so u can choose it in following 4 ways . 1). 2G + 3B. 2). 3G + 2B. 3). 4G + 1B. 4). 5G. & make combinations on above so u get 2702.
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In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer?
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In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer?.
In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways a team of 5 can be made out of 7 Boys and 8 Girls, if 2 Girls are compulsory to form a Team.a)2,646b)1,722c)2,702d)980Correct answer is option 'C'. Can you explain this answer?.
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