Maharashtra State BoardHSC Science (General) 11th
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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/(8 xx 7)`

∴ n – 3 = `1/14`

∴ n = `1/14 +  3`

= `43/14`

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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 3.2 | Q 5. (ii) | Page 49
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