Answer:13
Explanation:
Given
During a local campaign 8 republicans and 5 democratic candidates are nominated for president of the school Board.
If the president is to be one of these candidates then
there can be [tex]13^C_1[/tex] ways to select a president
[tex]n^C_r[/tex] can be expanded to [tex]=\frac{n!}{\left ( n-r\right )!\left ( r\right )!}[/tex]
therefore [tex]13^C_1=\frac{13!}{\left ( 13-1\right )!\left ( 1\right )!}[/tex]
[tex]13^C_1=\frac{13!}{12!\cdot 1!}=13 [/tex]
Therefore there can be 13 ways to do it.
