मराठी

Find the number of permutations of letters of the following word: REPRESENT - Mathematics and Statistics

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प्रश्न

Find the number of permutations of letters of the following word: REPRESENT

बेरीज

उत्तर

The word REPRESENT has 9 letters of which ‘E’ is repeated 3 times, ‘R’ is repeated 2 times, and the rest all are different.
∴ The number of distinct permutations

= `("n"!)/("p"!"q"!)`

= `(9!)/(3!2!)`

= `(9xx8xx7xx6xx5xx4)/2`

= 30240

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Permutations - Permutations When All Objects Are Distinct
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Exercise 6.4 [पृष्ठ ८२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.4 | Q 1. (iii) | पृष्ठ ८२
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