Tuesday, April 30, 2013

How many ways can you arrange 10 books?

If you have 3 books, how many ways can you arrange them? 6 ways...there are 3 choices for  the first book, two choices for the second book leaving the last book to be the third one.  3 x 2 x 1= 6..this is also known as 3!  pronounced "3 factorial" as opposed to THREE!!
ABC
ACB
BAC
BCA
CAB
CBA

If you have 4 books, there are now 4! or 24 different ways to arrange these books.

Whats amazing is if you have 10 books, the number of possible arrangements is 10! or
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x  1 which is 3,628,800

1 comment:

Morticia said...

Cool. I did not remember this stuff.