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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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प्रश्न

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.

बेरीज
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उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Exercise 6.3 [पृष्ठ ८१]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.3 | Q 14 | पृष्ठ ८१

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