Probability Question

Question

A group of 40 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 4 students from your school being selected as contestants out of 10 possible contestant​ spots?

Answer 1

(10 choose 4) ( 40/120)^4 (80/120)^6 =

(10*9*8*7/ (4*3*2*1)) (1/3)^4 (2/3)^6

10 * 3 * 7 / 81 * 64/ 729 = 22.760758014%