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

Sum

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.

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

Concept: Concept of Permutations - Permutations When Repetitions Are Allowed
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.3 | Q 14 | Page 55
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