SOLUTION: If an average consumer owns at least one and at most fifteen credit cards, how many consumers must be polled to be certain that at least two own the same number of credit cards?

Question 932397: If an average consumer owns at least one and at most fifteen credit cards, how many consumers must be polled to be certain that at least two own the same number of credit cards?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You need to poll 16 people and here is why:

If you polled 15 people, then the worst case scenario is that each person has a different number from the rest (person A has 1 card, person B has 2 cards, etc). That extra 16th person will have a number of cards from 1 to 15.

So again, you need to poll 16 people to guarantee that at least 2 of them will have the same number of cards.

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