Chapter 13.9, Problem 23PPS

To determine

To Find: Given situation is permutation or combination.

Answer to Problem 23PPS

There are $5040$ ways available for the students so that they can arrange themselves in empty seats.

Explanation of Solution

Given information:

No of empty seats of school bus: $10$ .

Calculation:

For calculating the no of ways can the $4$ students arrange themselves in the empty seats, if each student takes one seat.

An arrangement in which order is important is called as permutation. So order is important and permutation is used.

Total number of seat is $10$ .

There are $10$ choices for the first student.

  $9$ choices for the second student.

  $8$ Choices for the third student.

  $7$ choices for the fourth student.

For calculating the $P\left(10,4\right)$ ,

  $\begin{array}{l}P\left(10,4\right)=10\times 9\times 8\times 7\\ =5040\end{array}$