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In How Many Ways Can 4 Letters Be Posted in 5 Letter Boxes?

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Question

In how many ways can 4 letters be posted in 5 letter boxes?

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Solution

Each of the letter can be posted in anyone of the letter boxes.
This means that every letter can be posted in 5 ways.
∴ Total number of ways of posting 4 letters = `5xx5xx5xx5=5^4`

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Chapter 16: Permutations - Exercise 16.6 [Page 45]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.6 | Q 1 | Page 45

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