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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 three post boxes.
∴ Each letter can be posted in 3 ways.
∴ Total number of ways in which 5 letters can be posted = 3 × 3 × 3 × 3 × 3 = 243

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Permutations - Permutations When Repetitions Are Allowed
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Chapter 6: Permutations and Combinations - Exercise 6.3 [Page 81]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.3 | Q 14 | Page 81

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