1 pt In how many ways can 5 different novels 4 different mat

(1 pt) In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if: (a) The books can be arranged in any order? Your answer is: 3628800 (b) The mathematics books must be together and the novels must be together? Your answer is: (c) The novels must be together but the other books can be arranged in any order? Your answer is:

Solution

(a) total number of books =10

number of arrengement possible=fact(10)

=10!

=3628800

(b) number of mathematics books=5

number of novels books=4

and one biology books=1

number of ways of arrangement =5!*4!*1*3!

=17280

(c)there are two set of books one for novel and other for math and biology

number of ways =6!*4!*2!

=34560