There are three identical books on English, $4$ identical books on Hindi, $2$ identical books on mathematics. In how many distinct ways can they be arranged on a shelf?

Open in App

Solution

No. of ways $= \frac{9!}{4! \times 2! \times 3!} = 1260$ ways.

Suggest Corrections

Similar questions

In how many ways can 19 identical books on English and 17 identical books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together ?

Q. Four books, one English, one science, one social science, and one mathematics, are to be arranged in the shelf. In how many ways this can be done?

Q. On a shelf, there are 4 books on Economics, 3 books on Management and 4 books are Statistics. In how many different ways, can the books be arranged so that the books on Economics are kept together?

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. Four books, one each in Chemistry, Physics, Biology and Mathematics are to be arranged in a shelf. In how many ways can this be done?

Join BYJU'S Learning Program

There are three identical books on English, 4 identical books on Hindi, 2 identical books on mathematics. In how many distinct ways can they be arranged on a shelf?

No. of ways =9!4!×2!×3!=1260 ways.

There are three identical books on English, $4$ identical books on Hindi, $2$ identical books on mathematics. In how many distinct ways can they be arranged on a shelf?

No. of ways $= \frac{9!}{4! \times 2! \times 3!} = 1260$ ways.