Factorial creates PrimeNumber 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 \(N\)