Question

Please help!!

How many winning lottery numbers are possible of a pick 5 where you must match all five numbers from 52 balls.

Answer 1

I think its 311,875,200

Answer 2

How did you get that?
$$
\binom{52}{5}
$$
http://www.wolframalpha.com/input/?i=52choose5

Answer 3

I did the top portion but forgot to divide it by 5!. Now i got 2,598,960

Answer 4

You need to divide by 5! because otherwise you are counting every permutation of numbers like {5,24,32,10,9}. For example you are also counting {5,24,32,9,10}.