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Sagot :
The committee will be selected from = 6 republicans and 1 democrat.
Now, we can select one democrat from a group of six democrats:
6C1
Use combination formula:
[tex]\begin{gathered} 6C1=\frac{6!}{1!(6-5)!} \\ 6C1=6 \end{gathered}[/tex]Then, the number of ways to choose the republicans:
[tex]\begin{gathered} 9C6=\frac{9!}{6!(9-6)!} \\ 9C6=84 \end{gathered}[/tex]Hence, the number of ways to choose the committee consisting of 1 democrat and 6 republicans is 504 ways:
6*84 = 504 ways
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