हिंदी

If 16!+17!=x8!, find x

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प्रश्न

if `1/(6!) + 1/(7!) = x/(8!)`, find x

योग
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उत्तर

`1/(6!) + 1/(7!) = x/(8!)`

⇒ `1/(6!)  + 1/(7 xx 6!) = x/(8  xx 7 xx 6!)`

⇒ `1/(6!)  (1  +  1/7)  = x/(8  xx  7  xx  6!)`

⇒ `1 + 1/7  = x/(8  xx 7)`

⇒ `8/7  = x/(8 xx 7)`

⇒ x = `(8  xx  8  xx 7)/7`

∴ x = 64

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अध्याय 6: Permutations and Combinations - EXERCISE 6.2 [पृष्ठ १०७]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Permutations and Combinations
EXERCISE 6.2 | Q 4. | पृष्ठ १०७

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