Answer
$2,118,760$ different samples.
Work Step by Step
The order in which the objects from a population are selected does not matter and no object can be selected more than once.
Combination of 50 distinct members taken 5 at a time:
$_{50}C_{5}=\frac{50!}{5!(50-5)!}=\frac{50!}{5!\times45!}$
But, $50!=50\times49\times48\times47\times46\times(45\times44\times43\times...\times3\times2\times1)=50\times49\times48\times47\times46\times45!$
$_{50}C_{5}=\frac{50\times49\times48\times47\times46\times45!}{5!\times45!}=\frac{50\times49\times48\times47\times46}{5\times4\times3\times2\times1}=2,118,760$
