Question

How many possible samples n=2 can be drawn from a population of size 14?

Answer 1

The number of possible samples which can be selected without replacement is

$_NC_n=\cfrac{N! } {n! \cdot(N-n)! };$

$_{14}C_2=\cfrac{14! } {2! \cdot(14-2)! }=\cfrac{13\cdot14}{2}=91.$