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How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated - Mathematics and Statistics

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Question

How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated

Sum
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Solution

There are 7 letters in the word MADHURI.

A 4 letter word is to be formed from the letters of the word MADHURI and repetition of letters is allowed.

∴ 1st letter can be filled in 7 ways.

2nd letter can be filled in 7 ways.

3rd letter can be filled in 7 ways.

4th letter can be filled in 7 ways.

∴ Total no. of ways a 4-letter word can be formed

= 7 x 7 x 7 x 7

= 2401

∴ 2401 four-lettered words can be formed when repetition of letters is allowed.

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

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.3 | Q 5. (a) | Page 55
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