Question

You need to arrange tenten of your favorite books along a small shelf. how many different ways can you arrange the? books, assuming that the order of the books makes a difference to? you

Answer 1

that is permuations

that would be 10! or 10*9*8*7*6*5*4*3*2*1=3628800 ways

Answer 2

3,682,800 ways

Explanation:

A permutation is the variation of the order or position of the elements of an ordered set.

Basically, if order doesn't matter, we talk about a combination. If order matters, it's about permutation.

In other words: A permutation is an orderly combination.

There are two types of permutations:

Repeat is allowed: as a lock combination, it could be "333".

Without repetition: for example the first three in a race. You cannot stay first and second at the same time.

In this case, factor notation is used, multiplying descending numbers.

10! = 10x9x8x7x6x5x4x3x2x1 = 3,682,800 ways