Question

There are 17 students in a class, and 4 of them will be chosen to go on a field trip. How many ways can these students be chosen?

Answer 1

• Given number of students (n) = 17

r = 4

• Number of ways = Ncr = 17C4

= 17! /4! (17-4)!

= 17! /4! (13!)

= (17! *16!*15!*14! )/ 4!

= 2380

This means that these students be chosen in 2380 different ways .