Final answer:
To win at LOTTO in a certain state, there are 22,957,480 different selections that are possible when correctly selecting 6 numbers from a collection of 52 numbers. The order of the selections does not matter.
Step-by-step explanation:
To win at LOTTO in this state, you must correctly select 6 numbers from a collection of 52 numbers (1 through 52). The order of the selections does not matter. To determine the number of different selections that are possible, we can use the concept of combinations. The number of different selections is equal to the number of combinations of 52 numbers taken 6 at a time.
The formula for combinations is given by C(n, r) = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items being chosen. In this case, n = 52 and r = 6.
Using the formula, we can calculate:
C(52, 6) = 52! / (6! * (52-6)!) = 22,957,480
Therefore, there are 22,957,480 different selections that are possible to win at LOTTO in this state.