Answer:
On one shelf there are 6 different math books, 4 different science books and 8 novels. How many ways can books be organized if groups are maintained (i.e., all math books are grouped together, science books are grouped together and novels are grouped together).
Solution: There are 6 math books so if we think of filling 6 slots with six books, we will start with 6 books for the first slot, then 5, then 4, etc: 6– × 5– × 4 - × 3– × 2– × 1– = 720 ways.
There are 4 science books so we can organize them in 4– × 3– × 2– × 1– = 24 ways.
There are 8 novels so we can organize them in 8– × 7– × 6– × 5– × 4– × 3– × 2– × 1– = 40,320 ways.
Now, if each type of book can be arranged in so many ways and there are three types of books that can be displayed in 3– × 2– × 1– = 6 ways, then there are:
720 × 24 × 40320 × 6 = 4,180,377,600 total ways to organize books.
And brainliest pls :)
and also sorry if wrong
