Maharashtra State BoardHSC Science (Computer Science) 11th
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Answer the following: Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5 - Mathematics and Statistics

Sum

Answer the following:

Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5

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Solution

Required number = 20C8 × 12C7 × 5C5

= `(20!)/(8!12!) xx (12!)/(7!5!) xx1`

= `(20!)/(8!7!5!)`

Concept: Properties of Combinations
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Chapter 3: Permutations and Combination - Miscellaneous Exercise 3 [Page 68]
Q II. (15)
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Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Miscellaneous Exercise 3 | Q II. (15) | Page 68
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