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Answer the following: 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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प्रश्न

Answer the following:

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

बेरीज

उत्तर

Required number = 30C7 × 23C10 × 13C13

= `(30!)/(23!7!) xx (23!)/(10!13!) xx1`

= `(30!)/(7!10!13!)`

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Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Miscellaneous Exercise 3.2 [पृष्ठ ६८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 3 Permutations and Combination
Miscellaneous Exercise 3.2 | Q II. (8) | पृष्ठ ६८

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