Of 30 books (15 novels, 10 history books and 5 math books), how many ways can you get a bunch of four books to give to a friend?

To determine the number of ways to choose a bunch of four books from a collection of 30 books, including 15 novels, 10 history books, and 5 math books, we can use the concept of combinations.

In this case, we need to calculate the number of combinations of 4 books out of the total of 30. We can use the combination formula:

C(n, r) = n! / (r!(n-r)!),

where C represents combinations, n is the total number of items, and r is the number of items to be selected.

Let's apply this formula to the given scenario:
We have a total of 30 books, so n = 30.
We want to select 4 books, so r = 4.

Using the combination formula, we can calculate the number of ways to choose four books from a total of 30:

C(30, 4) = 30! / (4!(30-4)!)
= 30! / (4! * 26!)
= (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1)
= 274,050 / 24
= 11,419.

Therefore, there are 11,419 different ways to choose a bunch of four books from the given collection of 30 books.