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Question
Answer the following:
Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5
Sum
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Solution
Required number = 20C8 × 12C7 × 5C5
= `(20!)/(8!12!) xx (12!)/(7!5!) xx1`
= `(20!)/(8!7!5!)`
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Chapter 3: Permutations and Combination - Miscellaneous Exercise 3.2 [Page 68]
