Permutations

How many ways can you place 4 pictures in a line on a shelf?

Permutation problem:

  • cannot repeat choices
  • order matters

Equation=\frac{n!}{(n-r)!}

n = number of choices

r = number of choices used

n = 4, there are 4 pictures

r = 4, we place 4 pictures

\frac{4!}{(4-4)!}=\frac{4\times3\times2\times1}{0!}=24\ ways

0!=1