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UPSC 2003: A two-member committee comprising of one male and one female member is to be constituted out of five males and three females. Amongst the females, Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted?
(a)11
(b)12
(c)13
(d)14
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Not attemptedCorrect Answer: (d) 14
Normally 5 males × 3 females = 15 ways to pick a one-male/one-female committee. The single disallowed pair (Mr B with Ms A) must be excluded, leaving 15 – 1 = 14 valid committees, so option (d) is correct. ([doubtnut.com](https://www.doubtnut.com/qna/489588066?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2003 Science & Technology question?▼
The correct answer is option (d): 14. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2003, GS Paper 1, as Question 69. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.