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A lottery player selects 5 different numbers from the set $\{1, 2, \ldots, N\}$. The lottery organizers then randomly selects 5 different numbers from the same set.

What is the probability that the player selects the same set of 5 numbers?

A

$\cfrac{1}{N^5}$

B

$\cfrac{1}{5^N}$

C

$\cfrac{1}{{N\choose 5}}$

D

$\cfrac{5}{N!}$

E

none of the above

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