मराठी

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is ______ -

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प्रश्न

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is ______ 

पर्याय

  • 75

  • 150

  • 210

  • 243

MCQ
रिकाम्या जागा भरा

उत्तर

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is 150. 

Explanation:

  B1 B2 B3
Case-1: 1 1 1
Case-2: 2 2 1

Ways of distribution

= `(5!)/(1! xx 1! xx 3! xx 2!) xx 3! + (5!)/(2! xx 2! xx 1! xx 2!) xx 3! = 150`

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