Question

Six married couples are sitting in a room .number of ways in which 4 people are selected so that there is exactly one married couple among the four is ?

Answer 1

Read below.

Explanation:

All right.

A couple is a group of two people (assuming they are all married)

We know that:

`1.` There are twelve people in total

Now, out of the four people, two have to form a couple.

This leaves us with 10 people that can fill the rest.

Out of the two we can pick out, the first can be any out of the 10.

The second person can't be the selected person's husband/wife.

This leaves us 8 people for the second choice.

There are `10*8` or 80 choices `"for one couple"`

Since there are six couples, we multiply 6 by 80.

`6*80=>480` ways.