In how many ways 4 women draw water from 4 taps,

Question:

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

Solution:

Number of ways to draw water from the 1st tap = Number of women available to draw water = 4

Number of ways to draw water from the 2nd tap = Number of women available to draw water = 3

Number of ways to draw water from the 3rd tap = Number of women available to draw water = 2

Number of ways to draw water from the 4th tap = Number of women available to draw water = 1

$\therefore$ Total number of ways $=4 \times 3 \times 2 \times 1=4 !=24$

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