Question

To win at LOTTO in one​ state, one must correctly select 7 numbers from a collection of 61 numbers​ (1 through 61​). The order in which the selection is made does not matter. How many different selections are​ possible?

Answer 1

Using the combination formula, it is found that 436,270,780 different selections are possible.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 7 numbers are taken from a set of 61, hence the number of different selections is given by:

C(61,7) = 61!/(7! x 54!) = 436,270,780

More can be learned about the combination formula at https://brainly.com/question/25821700

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