Question

A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many different ways could the committee be made? ​

Answer 1

12870 ways

Explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways