Chapter 13.8, Problem 3CYU

To determine

To calculate: Total number of outcomes in the given situation using fundamental counting principle.

Answer to Problem 3CYU

  $144$ is the possible outcome for the given condition.

Explanation of Solution

Given information:

Condition:

Elisa can take $6$ different classes first period, $4$ different classes second period, $2$ different classes third period and $3$ fourth period.

As per given information,

Event $A$ :

  $6$ different classes for first period, then possible outcomes are,

  $=6$

Event $B$ :

  $4$ different classes second period, then possible outcomes are,

  $=4$

Event $C$ :

  $2$ different classes third period, then possible outcomes are,

  $=2$

Event $D$ :

  $3$ fourth period, then possible outcomes are,

  $=3$

Using fundamental counting principle,

  $\begin{array}{l}S\left(A\right).S\left(B\right).S\left(C\right).S\left(D\right)=P\left(S\right)\\ =6\times 4\times 2\times 3\\ =144\end{array}$

Therefore, Total number of outcomes in the given situation using fundamental counting principle is $144$ .