Q. 35.0( 1 Vote )

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

Answer :

1st woman can draw water from anyone of the 4 taps.


Now, as, it is given, that, no tap should remain unused so, 2nd woman can draw water from any of the remaining 3 taps.


Similarly, 3rd women can draw water from any of the remaining 2 taps.


And, 4th woman have to draw water from the remaining 1 tap.


As, the operations are dependent, so, total number of ways


= 4!


Alternative Approach:


The number of permutations of 4 objects taken 4 at a time is = 4P4 = 4!.


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