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Find the value of CC15C4 + 15C5 - Mathematics and Statistics

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Question

 Find the value of `""^15"C"_4  + ""^15"C"_5`

Sum

Solution

`""^15"C"_4  +  ""^15"C"_5`

= `""^15"C"_5  +  ""^15"C"_4`

= `""^15"C"_5  +  ""^15"C"_(5-1)`

= `""^16"C"_5` .......`[∵ ""^"n""C"_"r" + ""^"n""C"_"r - 1" = ""^("n" + 1)"C"_"r"]`
= 4368

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Properties of Combinations
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Chapter 6: Permutations and Combinations - Exercise 6.6 [Page 89]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.6 | Q 1. (iii) | Page 89

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