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30 objects are to be divided in three groups containing 7, 10, 13 objects. Find the number of distinct ways for doing so. - Mathematics and Statistics

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Question

30 objects are to be divided in three groups containing 7, 10, 13 objects. Find the number of distinct ways for doing so.

Sum

Solution

Required number = `""^30"C"_7 xx ""^23"C"_10 xx ""^13"C"_13`

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Permutations - Permutations When All Objects Are Distinct
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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 10 | Page 92
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