In how many ways can 4 women draw water from 4 taps if no tap remains

In how many ways can 4 women draw water from 4 taps if no tap remains unused?

Answer»

Given: We have 4 women and 4 tap

To Find: Number of ways of drawing water

Condition: No tap remains unused

Let us represent the arrangement

4 ways

3 ways

2 ways

1 ways

The first woman can use any of the four taps = 4 Ways

The second woman can use the remaining three taps = 3 ways

The third woman can use the remaining two taps = 2 ways

The fourth woman can use the remaining one tap = 1 way

Total number of ways = 4 × 3 × 2 × 1 = 24

There is 24 number of ways in which 4 women can draw water from 4 taps such that no tap remains unused.