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How many 4 letter words can be formed using letters in the word MADHURI if letters cannot be repeated? - Mathematics and Statistics

Sum

How many 4 letter words can be formed using letters in the word MADHURI if letters cannot be repeated?

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Solution

When repetition of letters is not allowed, the number of 4-letter words formed from the letters of the word MADHURI is

7P4 = `(7!)/((7-4)!)=(7xx6xx5xx4xx3!)/(3!)` = 840
∴ 840 four-letter words can be formed when the repetition of letters is not allowed.

Concept: Concept of Permutations - Permutations When All Objects Are Distinct
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.3 | Q 5. (ii) | Page 81
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