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Coolmath Algebra
Combinatorics Lesson 3 - Permutations (page 3 of 5)
---- This algebra lesson explains permutations - how to count how many ways to arrange n objects taken r at a time.

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What if we have the eight books... But, we can only put three of them on the shelf? How many arrangements are possible?

Let's figure it out!

** It's ALWAYS better to think than to just try to slam through a memorized formula!

Here are the books and the slots:

A B C D E F G H

How many choices do we have for this slot?

8 __ __
Let's say we put book C in slot 1... How many choices are left?

8 * 7 __
How many are left?

8 * 7 * 6 = 336

That wasn't bad at all!

TRY IT:

If you have 10 books and you want to arrange 4 of them on a bookshelf, how many ways can you do it?

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