Question

students at middle school

Answer 1

Solution

Step 1

Find the possibility of taking one course from each subject

$\begin{gathered} 3\text{Maths course} \\ 3_{c_1}=\text{ 3} \end{gathered}$$\begin{gathered} 3\text{Science Course} \\ 3_{c_1}=3 \end{gathered}$

$\begin{gathered} 2\text{ social studies course} \\ 2_{c_1}=2 \end{gathered}$$\begin{gathered} 2\text{ art courses} \\ 2_{c_1}=2 \end{gathered}$

Step 2

Find the required possibility of choosing one course from each subject area

$\begin{gathered} =3_{c_{1\text{ }}}ofmaths\times3_{c_{1\text{ }}}ofsciences\times2_{c_1}ofsocialstudies\times2_{c_1}ofartcourses_{} \\ =\text{ 3}\times3\times2\times2 \\ =36 \end{gathered}$

Hence, the answer is option A, the first option 36