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  • How many different ways can a person arrange 5 books on a shelf with 3 identical copies of one book and 2 identical copies of another book?  <st

How many different ways can a person arrange 5 books on a shelf with 3 identical copies of one book and 2 identical copies of another book?

 

Option: 1

15


Option: 2

10


Option: 3

20


Option: 4

25


Answers (1)

best_answer

There are 5 books arranged on a shelf with 3 identical copies of one book and 2 identical copies of another book.

The total number of books is 3 + 2 = 5.

So, the number of ways the given books can be arranged is,

\begin{aligned} & \frac{5 !}{3 ! 2 !}=\frac{5 \times 4 \times 3 \times 2}{3 \times 2 \times 2} \\ & \frac{5 !}{3 ! 2 !}=10 \end{aligned}

Therefore, the total number of ways the books can be arranged is 10.

 

Posted by

Kshitij

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