Using the combination formula, it is found that 15 baseball games will be played in all.
The order in which the teams are chosen is not important, as for example, Orioles vs White Sox is the same game as White Sox vs Orioles, hence the combination formula is used to solve this question.
What is the combination formula?
[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]
For each game, 2 teams are taken from a set of 6, hence the number of different games is given by:
[tex]C_{6,2} = \frac{6!}{2!4!} = 15[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
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