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

Question:

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

Solution:

Given: We have 4 women and 4 taps

To Find: Number of ways of drawing water

Condition: No tap remains unused

Let us represent the arrangement

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 $=4 \times 3 \times 2 \times 1=24$

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

 

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