Question

A certain five-member committee must be assembled from a pool of five women -- A. B, C, D and E, and threemen X, Y, and Z, what is the probability that the committee will incIude B,C, E, Y and Z?

Answer 1

`(1)/(56)`

Explanation:

Given that a certain five-member committee must be assembled from a pool of five women -- A. B, C, D and E, and threemen X, Y, and Z,

Total no of persons available = 8

Members to be selected = 5

SInce it is not given about designation of the members elected, we can assume they are of identical position.

So order does not matter.

5 persons can be selected from 8 persons in 8C5 ways = 56

To include B,C, E, Y and Z, no of favourable ways = 1

Hence the probability that the committee will incIude B,C, E, Y and Z

=
`(1)/(56)`