PLZ HeLP me its too long

Question

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 120. What is the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant​ spots?

P(3 students selected) = __

Answer 1

₃₀C₃*₉₀C₆/₁₂₀C₉

Choose 3 from your school, choose the remaining 6 from the remaining students

Divide by the number of choices of 9 students out of 120 total.

Just for fun I used the COMBIN function in Excel to get the answer