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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 ______
विकल्प
75
150
210
243
MCQ
रिक्त स्थान भरें
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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