Using the combination formula, it is found that 436,270,780 different selections are possible.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
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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