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Find n, if 1n!=14!-45! - Mathematics and Statistics

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प्रश्न

Find n, if `1/("n"!) = 1/(4!) - 4/(5!)`

बेरीज

उत्तर

`1/("n"!) = 1/(4!) - 4/(5!)`

∴ `1/("n"!) = 1/(4!) - 4/(5!)`

∴ `1/("n"!) = 5/(5xx4!)- 4/(5!)` 

∴ `1/("n"!) = 5/(5!)-4/(5!)`

∴ `1/("n"!) = 1/(5!)`

∴ n! = 5!

∴ n = 5

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Concept of Factorial Function
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Exercise 6.2 [पृष्ठ ७५]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.2 | Q 6. (iii) | पृष्ठ ७५
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