Question

There are m men and w women. A deputation of exactly 3 people has to be formed from them. An deputation is diverse if and only if it contains at least one man and at least one woman. How many distinct ways are there to select a diverse deputation of 3 people

Answer 1

Answer:

Step-by-step explanation: not easy

Answer 2

Given:

Total number of men= m

Total number of women = n

To find:

Total number of distinct ways to select a diverse deputation of 3 people.

Solution:

First let us find the number of ways to select a man from m men= m

Then let us find the number of ways to select a woman from n women= n

Now let us find the number of ways to select on more person from the left out men and women = (m+n-2)

Thus the total number of distinct ways to select a diverse deputation of 3 people will be = m×n×(m+n-2).

The required answer will be m×n×(m+n-2).