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 ______

पर्याय

• `1/34`

• `1/126`

• `1/33`

• `1/32`

Answer 1

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`