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 5 distinct books be distributed into 2 identical shelves without leaving any of them empty?Option: 1 30<

In how many ways can 5 distinct books be distributed into 2 identical shelves without leaving any of them empty?

Option: 1

30


Option: 2

26


Option: 3

25


Option: 4

 62


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 books \mathrm{n=5}
number of shelves \mathrm{r=2}

Using the equation, we obtain:

\mathrm{2^{5}-2 c_{1}(2-1)^{5}=30}

Total number of ways: 30

 

 

Posted by

Info Expert 30

View full answer

JEE Main high-scoring chapters and topics

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

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in
anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

Latest Question