Question

Counting problem

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{In how many ways can a student choose a programme } \hspace{.33em}\\~\\
& \normalsize \text{of 5 courses if 9 courses are available and 2 specific } \hspace{.33em}\\~\\
& \normalsize \text{courses are compulsory for every student.} \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

I assume order does not matter. we just want a list of 5 courses.

Answer 3

order doesn't matter.

Answer 4

you have to choose the 2 required courses. that leaves 7 from which to pick 3
7 choose 3 right ?

Answer 5

yes

Answer 6

and that is 35

Answer 7

u did \(^{7}C_{3}\) ,but what about the remaining \(2\) courses

Answer 8

we could be pedantic and say
2C2 * 7C3

Answer 9

ok 2C2=1

Answer 10

answer is 35 ?

Answer 11

yes. Make sense?

Answer 12

yes thnks