Question

Students at middle school

Answer 1

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*3_{c_{1\text{ }}}ofsciences*2_(c_1)ofsocialstudies*2_(c_1)ofartcourses_{} \\ =\text{ 3}*3*2*2 \\ =36 \end{gathered}`

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