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Find n, if n6!=48!+36! - Mathematics and Statistics

Sum

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

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Solution

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

∴ `"n"/(6!)-3/(6!)=4/(8!)`

∴ `("n"-3)/(6!)=4/(8 xx 7 xx 6!)`

∴ n − 3 = `4/(8xx7)`

∴ n − 3 = `1/14`

∴ n = `1/14+3=(43)/(14)`

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APPEARS IN

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