To win a state lottery game, a player must correctly select six numbers from the numbers 1 through 45. Find the total number of selections possible.
A)977,407,200
B)8,145,060
C)720
D)45
E)6

Question

Quizplus · Accepted Answer

The total number of selections possible is calculated using the combination formula since the order of selection does not matter. The formula for combinations is C(n, r) = n! / [r!(n - r)!], where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes factorial. For this problem, n = 45 and r = 6, so the calculation is C(45, 6) = 45! / [6!(45 - 6)!] = 8,145,060.

To Win a State Lottery Game, a Player Must Correctly