Answer:
To find the number of students who liked both soccer and football, we can use the principle of inclusion-exclusion.
First, we add the number of students who liked soccer (200) and the number of students who liked football (180). This gives us a total of 380 students who liked either soccer or football.
However, we need to subtract the number of students who liked both soccer and football to avoid counting them twice.
Let's say x represents the number of students who liked both soccer and football.
So, 200 + 180 - x = 380.
By rearranging the equation, we find that x = 380 - 200 - 180 = 0.
Therefore, there were no students who liked both soccer and football in this group of 350 students.