Chapter 8.5, Problem 13E

To determine

To calculate: number of possible course schedule for student.

Answer to Problem 13E

The number of possible course schedule available for student is $\underset{\_}{30}$

Explanation of Solution

Given information:

For course schedule selection, out of two mathematics courses student can select one course, out of three sciences courses student can select one course and out of five social science and humanities courses student can select one course.

Formula used:

Fundamental principle of counting:

If three events can occur in $w_1,w_2$ and $w_3$ ways than three events together can occur in $w_1\times w_2\times w_3$ ways.

Calculation:

Number of way in which one math course can be selected from two math courses say $m=2$

Number of way in which one science course can be selected from three science courses say $s=3$

And number of way in which one social science and humanities course can be selected from five social science and humanities courses say $sh=5$

So using fundamental principle of counting

Total number of ways a student can select a course

  $=m\times s\times sh$

  $=2\times 3\times 5$

  $=30$

Hence number of possible course schedule available for student is $\underset{\_}{30}$ .