Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • In how many ways can we distribute 7 distinct objects to 3 people, such that each of them gets at least one?Option: 1 343<div class='qn

In how many ways can we distribute 7 distinct objects to 3 people, such that each of them gets at least one?

Option: 1

343


Option: 2

2187


Option: 3

 1806


Option: 4

2190


Answers (1)

best_answer

Empty box is not allowed

So, number of ways of distributing \mathrm{'n'} distinct things in \mathrm{'r'}  identical places can be computed by the formula,

\mathrm{r^{n}-r c_{1}(r-1)^{n}+r c_{2}(r-2)^{n}---+(-1)^{r-1} r c_{r-1}(1)^{n}}

Here, number of objects \mathrm{n=7}
number of persons \mathrm{r=3}

Using the equation, we obtain:

\mathrm{3^{7}-3 c_{1}(3-1)^{7}+3 c_{2}(3-2)^{7}=1806}

Total number of ways: 1806

 

 

Posted by

Sanket Gandhi

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question