Chapter 8, Problem 1RE

To determine

The statement “Permutation provide a way of counting possibilities when order matters” is true or false.

Answer to Problem 1RE

The statement “Permutation provide a way of counting possibilities when order matters” is true.

Explanation of Solution

Permutation is an arrangement of r elements from the set of n elements.

Permutation is denoted as $P\left(n,r\right)$ and its formula is $P\left(n,r\right)=\frac{n!}{\left(n-r\right)!}$.

Since permutation is the ordering or arrangement, the order is important.

So, permutation provide a way of counting possibilities when order matters.

Thus, the statement “Permutation provide a way of counting possibilities when order matters” is true.