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.