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Evaluate nrnrn!r!(n-r)! when n = 10, r = 3 - Mathematics

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प्रश्न

Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 10, r = 3

बेरीज
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उत्तर

n = 10, r = 3

`("n"!)/("r"!("n" - "r")!) = (10!)/(3!(10 - 3)!)`

= `(10!)/(3!7!)`

=`(10 xx 9 xx 8 xx 7!)/(3 xx 2 xx 1 xx 7!)`

= `(10 xx 9 xx 8)/(3 xx 2 xx 1)`

= 10 × 3 × 4

= 120

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पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 15. (ii) | पृष्ठ १६६

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