Find n, if n8!=36!+14! - Mathematics and Statistics

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Sum

Find n, if `"n"/(8!) = 3/(6!) + 1/(4!)`

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Solution

`"n"/(8!) = 3/(6!) + 1/(4!)`

∴ `"n"/(8!)=3/(6!)+(6xx5)/(6xx5xx4!)`

∴ `"n"/(8!)=3/(6!)+30/(6!)`

∴ `"n"/(8xx7xx6!) = 33/(6!)`

∴ `"n"/56` = 33

∴ n = 56 × 33 = 1848

Concept: Concept of Factorial Function
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Chapter 6: Permutations and Combinations - Exercise 6.2 [Page 75]

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Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.2 | Q 6. (i) | Page 75
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