Question

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 53 numbers. The order in which the selections are made does not matter. How many different selections are possible?

Answer 1

To win at LOTTO in a certain state, we need to select 6 numbers without considering their order. The number of different selections possible can be calculated using the combination formula.

Step-by-step explanation:

In this problem, we are given a collection of 53 numbers and we need to select 6 numbers without considering their order. This means that we have to calculate the number of combinations. In mathematics, the number of combinations of selecting r objects from a set of n objects is given by the formula:

C(n, r) = n! / (r!(n - r)!)

Using this formula, we can calculate the number of different selections possible for the LOTTO game. Plugging in the values n = 53 and r = 6, we get:

C(53, 6) = 53! / (6!(53 - 6)!) = (53 * 52 * 51 * 50 * 49 * 48) / (6 * 5 * 4 * 3 * 2 * 1) = 22,957,480

Therefore, there are 22,957,480 different selections possible in the LOTTO game.