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Question
A group of 5 men and 4 women are arranged at random, one after the other. The probability that women and men occupy alternate seats is ______
Options
`1/34`
`1/126`
`1/33`
`1/32`
MCQ
Fill in the Blanks
Solution
A group of 5 men and 4 women are arranged at random, one after the other. The probability that women and men occupy alternate seats is `underline(1/126)`.
Explantation:
Total no. of ways = 9!
Arrangement of men and women in alternate seats is M W M W M W M W M Men can occupy seats in 5! ways and women in 4! ways.
∴ Required Probability = `(5! xx 4!)/(9!) = 1/126`
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Permutations - Circular Permutations
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