# An $$N$$-sided die

Jorge has an $$N$$-sided fair die, and wonders how many times he would need to roll it until he has rolled all the numbers from $$1$$ to $$N$$ (in any order).

He does a quick calculation and discovers that the expected value for the number of rolls is 91 when rounding to the nearest integer.

How many sides does his die have?

Clarification: One distinct number from $$1$$ to $$N$$ is printed on each face of the die.

Other Expected Value Quizzes

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