Maharashtra State BoardHSC Commerce 11th
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Find the value of 80C2 - Mathematics and Statistics

Sum

Find the value of `""^80"C"_2`

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Solution

`""^80"C"_2 = (80!)/(2!(80 - 2)!)` ...`(∵  ""^"n""C"_"r" = ("n"!)/("r"!("n" - "r"!)!))`

= `(80!)/(2!78!)`

= `(80 xx 79 xx 78!)/(2 xx 78!)`

= 40 × 79
= 3160

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.6 | Q 1. (ii) | Page 89
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