The form of a combination is
Cancel numbers common in the numerator & denominator:
If you have a TI-83, 84 calculator, you can type
The result is 10 518 300 ways.
To calculate the number of ways that groups of eight can be chosen from a larger group of 32, we use the formula
So, in this case
= 10 518 300
By the way, I believe the accepted notation is