In how many ways can we select a team of 5 students from a given choice of 20?

Question: In how many ways can we select a team of 5 students from a given choice of 20?

Solution:
The number of possible ways of selection is given by,
20C5
​= 20!/5!(20 - 5)!
= (20 × 19 × 18 × 17 × 16 × 15!)/(5 × 4 × 3 × 2 × 15!)
​= 15504

So, the number of ways to select 5 students from 20 is 15504.