Permutations

Hello class! This is Charmaine! And I'm going to try to explain what permutations is. When I look for the definition on dictionary.com this is what comes up:
 the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc., or of arranging a number of elements in groups made up of equal numbers of the elements in different orders, as a and b in ab and ba; a one-to-one transformation of a set with a finite number of elements.
In simpler terms, counting without actually counting (which also is clearly stated in our booklets) so here's an example!

A soccer team is getting new uniforms. The players get a choice of 3 different jerseys, 2 different shorts, and 2 different pairs of socks. How many possible varieties can you come up with for a full uniform? 
You can arrange this in two ways.
a) The tree method (More visual)
 
As you can see, there are 12 different possibilities.
 b) The dash method
 
Which also equals to 12!

So there you go, I hope this helped you understand permutations a bit more if you didn't understand it already!