Tessellate S.T.E.M.S - Computer Science - School - Set 3 - Problem 1

In a rather interesting ice-cream parlor, there are 100 different flavors of ice-cream. However, they can only serve 1 serving per flavor. In other words, if there are two people who want the same flavor, they are in trouble.

Assumming that the choice of a person is uniformly random and independent of that of the others, what is the minimum number of people required so that the probability that two people would want the same flavor is at least half?

Choose the alternative that is closest to this number.

This problem is a part of Tessellate S.T.E.M.S.