Question

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 6 students from student council. How many possible committees can be formed?

Answer 1

\[\binom{20}{6}\]

Answer 2

You want to pick 6 from 20 students, without caring for the order. So you want to calculate the following:
\[C(20,6) = \frac{20!}{6!(20-6)!}\]

Answer 3

order doesnt matter