# 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 \(N\)