Selection of Books

Question

How many ways can 2 History books, 2 Science Books and 1 art book be selected from 5 history books, 4 science books and 4 art books?

Answer 1

There are 5 History books, 4 science books and 4 art books.

2 History books, 2 science book and 1 art book is selected.

Number of ways of selecting 2 History books from 5 History books is .

Number of ways of selecting 2 Science books from 4 science books is .

Number of ways of selecting 1 art book from 4 art books is .

Therefore number of ways of selecting 2 History books, 2 science book and 1 art book is

* *

= 10 * 6 * 4

= 240

Therefore there are 240 ways of selecting 2 History books, 2 science book and 1 art book from 5 History books, 4 science books and 4 art books.