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Find the value of 15C4 - Mathematics and Statistics

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प्रश्न

Find the value of 15C4

योग

उत्तर

15C4  

= `(15!)/(4!(15 - 4)!)    ...(∵ ""^"n""C"_"r" = ("n"!)/("r"!("n" - "r")!))`

= `(15!)/(4!11!)`

= `(15 xx 14 xx 13 xx 12 xx 11!)/(4 xx 3 xx 2 xx 1 xx 11!)`

= `(15xx14xx13xx12)/(4xx3xx2xx1)`
= 1365

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Properties of Combinations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Permutations and Combinations - Exercise 6.6 [पृष्ठ ८९]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.6 | Q 1. (i) | पृष्ठ ८९

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