Answer
There are $324,623$ ways for a player to select the 5 numbers.
Work Step by Step
The order in which the 5 numbers are selected is not important.
$_{35}C_5=\frac{35!}{(35-5)!~5!}=\frac{35\times34\times33\times32\times31\times30!}{30!\times120}=324,623$
