Question

Of 14 possible books, you plan to take 5 with you on vacation. How many different collections of 5 books can you take?

Answer 1

Since the problem does not take the order into account this is a combination problem.

A combination is given by:

`_nC_k=(n!)/(k!(n-k)!)`

Then in this case we have:

`_(14)C_5=(14!)/(5!(14-5)!)=2002`

Therefore there are 2002 different collections of five books