Suppose we want to choose \(6\) objects, without replacement, from \(15\) distinct objects.

(a) How many ways can this be done, if the order of the choices does not matter?

(b) How many ways can this be done, if the order of the choices matters?

Question

Suppose we want to choose \(6\) objects, without replacement, from \(15\) distinct objects.

(a) How many ways can this be done, if the order of the choices does not matter?

(b) How many ways can this be done, if the order of the choices matters?

Answer

(a) \(5005\)

(b) \(3603600\)