`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

Question

`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

`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`

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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

7 views Answered 2023-02-05 15:29