Home
Class 12
MATHS
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
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|2 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise Matching Column Type|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

Similar Questions

Explore conceptually related problems

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty ?

Six apples and six mangoes are to be distributed among ten boys so that each boy receives at least one fruit. Find the number ways in which the fruits can be distributed.

If 10 objects are distributed at random among 10 persons, then find the probability that at least one of them will not get anything.

n different toys have to be distributed among n children. Find the number of ways in which these toys can be distributed so that exactly one child gets no toy.

Number of ways in which 30 identical things are distributed among six persons is a .^17C_5 if each gets odd number of things b .^16C_11 if each gets odd number of things c .^14C_5 if each gets even number of things (excluding 0) d .^15C_10 if each gets even number of things (excluding 0)

In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is a. "^8P_6-2(6!) b. "^8P_6 c. "^8P_5(6!) d. none of these

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

Find the number of ways of disturbing n identicalobjects among n persons if at least n-3 persons get none of these objects.

Four different objects 1,2,3,4 are distributed at random on four places marked 1,2,3,4. what is the probability that no-object occupies the places corresponding to its numbers?

Number of ways in which 25 identical things be distributed among five persons if each gets odd number of things is