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5 different objects are to be distribute...

`5` different objects are to be distributed among `3` persons such that no two persons get the same number of objects. Number of ways this can be done is,

A

`60`

B

`90`

C

`120`

D

`150`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Division of objects can be `(0,1,4)` or `(0,2,3)`
So total number of distribution ways
`=(5!)/(0!*1!*4!)xx3!+(5!)/(0!*2!*3!)xx3!`
`=30+60=90` ways
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