Chapter 12.4, Problem 9PPS

To determine

Find the probability.

Answer to Problem 9PPS

  $0.00001$

Explanation of Solution

Given information:

The new seating chart in the class of $26$ students was randomly generated. Jamila, Candace, and Haley are in the first, second, and third seats.

Calculation:

Here, we have to find the probability that Jamila, Candace, and Haley are in the first, second, and third seats.

As, there are total $26$ students. So, the number of possible order of $24$ students is:

  $24!=6.204484e+23$

Now, Jamila, Candace and Haley can be arranged as:

  $3!=6$

Now, we will arrange rest of the $21$ students as:

  $21!=5.1090942e+19$

Thus, the probability will be:

  $\begin{array}{l}P=\frac{21!3!}{24!}\\ P=0.00001\end{array}$

Hence, the probability is $0.00001$ .