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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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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प्रश्न

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

बेरीज
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उत्तर

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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.3 [पृष्ठ ५५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.3 | Q 5. (a) | पृष्ठ ५५
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