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UPSC 2007: Groups, each containing 3 boys, are to be formed out of 5 boys – A, B, C, D and E – such that no one group contains both C and D together. What is the maximum number of different groups?
(a)5
(b)6
(c)7
(d)8
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Not attemptedCorrect Answer: (c) 7
Unrestricted 3-boy groups from 5 boys = C(5,3) = 10. Groups that contain both C and D (forbidden) must choose the third boy from A, B, E → C(3,1)=3 such groups. Valid groups = 10 – 3 = 7, hence option (c).
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What is the correct answer to this UPSC 2007 Science & Technology question?▼
The correct answer is option (c): 7. 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 2007, GS Paper 1, as Question 140. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "easy". It tests basic recall and most well-prepared aspirants should answer it correctly.
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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.