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The total number of ways in which 5 ball...

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

A

75

B

150

C

210

D

243

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly, Required number of ways.
= Total number of ways in which 5 balls of different colours can be distributed among 3 persons
- Number of ways in which at least one person gets no ball
`=3^(5)-(""^(3)C_(1)xx2^(5)-""^(3)C_(2)xx1^(5))`
`=243-96+3=150`
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