MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Permutation: n Different Things Taken r at a Time

In a library,...

Question

In a library, there are m books of mathematics and n books of natural science. They can be placed on a shelf in $1209600$ ways so that the books of the same subject are not separated.If $m \geq n$ . then m $=$

A

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

7

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $7$
Mathematics books and natural science books could permute in m! and n! way and we could arrange them in 2!
$m! \times n! \times 2!$ $=$ 1209600
By trial and error,
$m! \times n!$ $=$ $7! \times 5!$

Suggest Corrections

thumbs-up

0

Similar questions

6

books of Economics,

3

of Mathematics and

2

of Accountancy. In how many ways can these be placed on a shelf, if:
1. Books on the same subject are together ?
2. Books on the same subject are not together ?

Q. In a library there are

n

different books on mathematics, and one can draw any number of books. If the number of ways in which the books can be drawn is

4095

Q. There are 5 books on Mathematics, 4 on physics. In how many ways these be placed on shelf if the books on the same subject are to be together ?

Q. In a library there are

20

6

Greek books, in how many ways can a group of

5

3

2

Greek books be placed on a shelf?

^{'} m^{'}

^{'} n^{'}

different books in a university library. The number of ways in which one or more than one book can be selected is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Permutations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Permutation: n Different Things Taken r at a Time

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon