To win the lotto in certain states, one must correctly select 6 numbers from a collection of 53 numbers ( 1 through 53.) The order in which the selections is made does not matter. How many different selections are possible?

A)318
B)22,957,480
C)20,358,520
D)720

Question

To win the lotto in certain states, one must correctly select 6 numbers from a collection of 53 numbers ( 1 through 53.) The order in which the selections is made does not matter. How many different selections are possible? 

A)318
B)22,957,480
C)20,358,520
D)720

anonymous · Answer

If order doesn't matter, you want to use combinations.  So it would be $53 \choose 6$.