The combination of possible games Joey can bring to the game night is 658008.
A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the sequence and order of the selection are irrelevant.
Mathematically, it can be expressed as:
[tex]\mathbf{C(n,r) = (^n_r) = \dfrac{n!}{(r!(n-r)!)}}[/tex]
From the given information:
[tex]\mathbf{C(n,r) = \dfrac{40!}{(5!(40-5)!)}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{40!}{(5!(35)!)}}[/tex]
C(n, r) = 658008
Learn more about combination here:
https://brainly.com/question/11732255
#SPJ1
