How many possible combinations of six numbers could you chose?

Question

If you are playing a lottery that requires you to select six numbers out of a possible 40, and the order of the six numbers does not matter, how many possible combinations of six numbers could you chose?

Answer 1

 

Possible combination for selecting 6 numbers out of given 40 numbers will be

 

⁴⁰C₆ = (40)! / 6!*(40-6)!

        =  (40)! / 6!*(34)!

        = 3838380