Probability question

Question

a group of 40 students from your school is part of the audience for TV game show. the total number of people in the audience is 140. what is the theoretical probability of 5 students from your school being selected as contestants out of 8 possible contestant spots?

Answer 1

The numbers in this answer are big...be prepared to do some calculation.

This is an hypergeometric probability problem.

_nC_r is the binomial coefficient of "from n pick r".

Your answer is ₄₀C_{5 * 100}C₃ / ₁₄₀C₈ but you have to do the arithmetic!

BTW: your English grammar needs some attention, too. Sentences begin with capital letters!