# Factorial creates Prime

Number Theory Level pending

There is a number $$N>2$$ such that the digits of $$N!$$ can be rearranged to form a prime.

Now, which of the following option is correct?

$$A :$$ There exists infinitely many numbers $$N$$.
$$B :$$ There exist only one such number $$N$$.
$$C :$$ All prime numbers greater than $$2$$ satisfy the conditions of $$N$$.
$$D :$$ There is no number satisfying the condition of $$N$$

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