Permutations and Combinations 1 Question 9

9. Eight chairs are numbered 1 to 8 . Two women and three men wish to occupy one chair each.

First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is

(a) 6C3×4C2

(b) 4P2×4P3

(c) 4C2+4P3

(d) None of these

(1982, 2M)

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Answer:

Correct Answer: 9. (d)

Solution:

  1. Since, the first 2 women select the chairs amongst 1 to 4 in 4P2 ways. Now, from the remaining 6 chairs, three men could be arranged in 6P3.

Total number of arrangements =4P2×6P3.



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