Register

combinatorics ace mock

1,325 views
0 0 votes
Number of ways we can assign 5 persons into 3 different rooms, so that each room contains at least 1 person is _____________

1 Answer

Best answer
4 4 votes

This is same as the number of onto functions from a set of 5 objects to a set of 3 objects.

Required number of ways = $3^{5}-\binom{3}{1}\left ( 3-1 \right )^{5}+\binom{3}{2}\left ( 3-2 \right )^{5}$ = 150

• selected by
Voting & Accepting an answer helps improve the community
← Previous · MADE EASY TEST SERIE...Next → · programming ace mock...
← Previous in category · CombinationsNext in category → · GATEBOOK
Position:
Show:

Related questions

0 0 votes
1 answers 1 answer
2.6k
2.6k views
iita asked Jan 24, 2017
2,648 views
combinatorics ace mock
The number of integers between 1 and 1000 inclusive have a sum of digits equal to 10 is_______
0 0 votes
1 1 answer
945
945 views
Satyansh asked Sep 22, 2022
945 views
Ace Book for Discreet Mathematics , Combinatorics.
Number of ways to assign 5 different people in 3 different rooms, so that each room contains at least one person?
0 0 votes
1 1 answer
119
119 views
GO Classes asked Apr 25
119 views
GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics
Color the surfaces of a cube of dimension $5 \times 5 \times 5$ red, and then cut the cube into smaller cubes of dimension $1 \times 1 \times 1$. Take out all the smaller...