Question

If the population size is equal to 5 and the sample size is equal to 3. How many possible sample can be drawn using the formula of without replacement?

Answer 1

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

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

$_{5}C_3=\cfrac{5! } {3! \cdot(5-3)! }=\cfrac{4\cdot5}{2}=10.$