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

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


4 ways



3 ways



2 ways



1 way



The first woman can use any of the four taps


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.


1