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UPSC 2006: Each of 2 women and 3 men is to occupy one chair out of 8 chairs, each of which is numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then 3 men would occupy any three chairs out of the remaining 6 chairs. What is the maximum number of different ways in which this can be done?
(a)40
(b)132
(c)1440
(d)3660
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Not attemptedCorrect Answer: (c) 1440
Pick any 2 of the first 4 chairs for the women: C(4,2)=6; arrange the 2 women: 2!=2 (total 12 ways). From the 6 remaining chairs choose 3 for the men: C(6,3)=20; arrange the 3 men: 3!=6 (total 120 ways). Thus 12 × 120 = 1440 possible arrangements, so option (c) is correct. ([iasexamportal.com](https://iasexamportal.com/IAS/IAS-Prelims-Previous-Year-Paper-General-Studies-2006-5?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2006 Science & Technology question?▼
The correct answer is option (c): 1440. 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 2006, GS Paper 1, as Question 137. 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.