Question

By 8 students and 5 professors, we have to make a college council, taking 5 students and 2 professors. How many councils can be formed?

Answer 1

Number of methods of choosing 5 out of 8 students = ⁸C₅

and number of methods of choosing 2 out at 5 professors = ⁵C₂

By the basic principle of calculation, the methods of choosing 5 out of 8 students and 2 out of 5 professors are

Hence required councils are 560.