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Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box. - Mathematics and Statistics

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Question

Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.

Sum
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Solution

There are 5 letters and 3 post boxes and any number of letters can be posted in all of three post boxes.

∴ Each letter can be posted in 3 ways.

∴ Total number of ways 5 letters can be posted

= 3 × 3 × 3 × 3 × 3

= 243

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Chapter 3: Permutations and Combination - Exercise 3.3 [Page 55]

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