Question

How many distinct committees of 17 people can be formed if the members are drawn from a pool of 21 people? Use factorials to express answer.

Answer 1

Do you know what a factorial is?

Answer 2

Because, this question is very invalid.

Answer 3

so we gotta choose 17 people out of 21 people and tell how many such "distinct" committees can be formed.
so we use the combination formula -> \(\large ^nC_r=\Large\frac{n!}{r!~[n-r]!}\) which will give us the number of different selections/different communities

here \(r\)--> number of objects to be selected
\(n\)-> total number of objects we have

in our case \(n\)=21 and \(r\)=17
now just plug them in the formula and that will be your answer :)