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The Florida Lotto allows you to pick 53 numbers, to get the full prize you have to select 6 of them correctly, the order in which you select them does not matter. How many combinations can you select? a. 22,957,480 b. 418,195,493 c. 318 d. We cannot determine the amount we need to know if the distribution is normal e. 1.65 x 10^10

Respuesta :

Answer:

a. 22,957,480

Step-by-step explanation:

The order in which the numbers are picked is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

6 numbers from a set of 53. So

[tex]C_{53,6} = \frac{53!}{6!(53-6)!} = 22,957,480[/tex]