Is there sufficient information to determine how many people are both engineers and MBAs?

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In a group of 500 people, 350 are engineers, 250 are MBA. Find how many people are both engineers and MBA?

I believe there is insufficient information given in the question.

My teacher gave $100$ as answer, based on $350 + 250 - 100$.

$(A \cup B)$ is not the same thing as total number of people, right?

But, what if there are people that are neither engineers or MBA?