The team can be formed in 420 different ways
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
if r number of objects is to be selected from a pool of n objects, this can be done in nCr number of ways.
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Now If A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
[tex]_{8} C_{2}=\frac{8!}{2!6!} =28\\_{6} C_{2}=\frac{6!}{2!4!} =15[/tex]
[tex]_{8} C_{2}*_{6} C_{2}=28*15[/tex]
[tex]=420[/tex] teams
Hence, The team can be formed in 420 different ways
Learn more about combination here https://brainly.com/question/2280043
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