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Compute: 8!6!-4!

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प्रश्न

Compute: `(8!)/(6! - 4!)`

योग
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उत्तर

`(8!)/(6! - 4!) = (8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)/((6 xx 5 xx 4 xx 3 xx 2 xx 1) - (4 xx 3 xx 2 xx 1))`

= `40320/(720 - 24)`

= `40320/696`

= `1680/29`

∴ `(8!)/(6! - 4!) = 1680/29`

= 57.93

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अध्याय 3: Permutations and Combination - Exercise 3.2 [पृष्ठ ४९]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 3 Permutations and Combination
Exercise 3.2 | Q 2. (vii) | पृष्ठ ४९

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