To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (onethrough 52.) The order in which the selections is made does not matter. How many different selections arepossible?
A) 20,358,520
B) 18,009,460
C) 312
D) 720

Question

Quizplus · Accepted Answer

The number of different selections is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of options (52) and k is the number of selections (6). So, C(52, 6) = 52! / (6!(52-6)!) = 20,358,520.

To Win at LOTTO in a Certain State, One Must