Question

To win at lotto in a certain state, one must correctly select 6 numbers from a collection of 50 numbers (one through 50). the order in which the selections is made does not matter. how many different selections are possible?

Answer 1

Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700

Answer: 15 890 700

Answer 2

The number of possible selections is
C(50, 6) = 50!/(6!*44!) = 15,890,700