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In How Many Ways 4 Women Draw Water from 4 Taps, If No Tap Remains Unused? - Mathematics

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

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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
∴ Total number of ways = `4xx3xx2xx1=`\[\times\]1 = 4! = 24

 

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 3 | Page 45

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