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]