# 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

#### Solution

There are 7 different letters in the word 'MADHURI' and we have to form 4-letter words.

i.e., n = 7 and r = 4

If the repetition of letters is not allowed, then the number of 4-letter words

= nPr = 7P4

= (7!)/((7 - 4)!)

= (7!)/(3!)

= (7 xx 6 xx 5 xx 4 xx 3!)/(3!)

= 840.

Concept: Concept of Permutations - Permutations When Some Objects Are Identical
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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 5. (b) | Page 55