Chapter 8.5, Problem 86E

To determine

To find: whether the given statement is true or false.

Answer to Problem 86E

Given statement is True.

Explanation of Solution

Given Information:

Given statemnet

“The number of permutations of $n$ elements can be derived by using the Fundamental Counting principle”.

Calculation:

Consider the following formula for permutation,

  ${}_n{P}_r=\frac{n!}{\left(n-r\right)!}$

And the fundamental counting principle is, if there are 2 persons and they can go by 3 cars, then the number of ways that the persons can drive is $2\times 3=6$ ways.

Consider the statement that permutation of $n$ elements can be determined by using Fundamental counting principle is True as both of them find number of ways of selection of different number of elements.