turkey-yks 2014 Q13

turkey-yks · Other · lys1-math Principle of Inclusion/Exclusion
A tour company has organized tours to three different museums. The following is known about those who participated in these tours.
  • 30 people participated in each tour.
  • 10 people participated in all three tours.
  • 33 people participated in at least two tours.

Accordingly, how many people participated in only one of the tours?
A) 10
B) 11
C) 12
D) 13
E) 14
A tour company has organized tours to three different museums. The following is known about those who participated in these tours.

\begin{itemize}
  \item 30 people participated in each tour.
  \item 10 people participated in all three tours.
  \item 33 people participated in at least two tours.
\end{itemize}

Accordingly, how many people participated in only one of the tours?\\
A) 10\\
B) 11\\
C) 12\\
D) 13\\
E) 14