Answer:
The correct answer is 0.1714 .
Step-by-step explanation:
There are 6 men and 4 women to be interviewed for jobs.
Total number of arrangements in which they can be called for the interview process is 10!.
Number of ways any two women are interviewed before any man is 4 × 3 × 8!. = 12 × 8!.
Number of ways any three women are interviewed before any man is 4 × 3 × 2 × 7!. = 24 × 7!.
Number of ways all the women are interviewed before any man is 4! × 6!.
Required number of ways in which at least two women being interviewed before any man is given by 12 × 8! + 24 × 7! + 4! × 6! = 864 × 6!.
Required probability is 864 × 6! ÷ 10! = 0.1714
