In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if

Question Continuation:

if   (a) the books can be arranged in any order?  

(b) the mathematics books must be together and the novels must be together?

(a) 3628800  ways

(b) 17280 ways

Step-by-step explanation:

Given

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

The number of arrangement is:

(b):

If the mathematics books are together, there are 4! different  arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

This can be arranged in 3! ways.

Total number of arrangement is:

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

whatare you sayig

step-by-step explanation: