## Pandigital Primes

A \((1,k)\)-pandigital integer is any number which contains all the digits from \(1\) to \(k\) exactly once each. A \((0,k)\)-pandigital integer is any number which contains all the digits from \(0\) to \(k\) exactly once each. We are interested in counting how many \((1,k)\)-pandigital prime numbers exist.

Part A | How many \((1,7)\)-pandigital prime numbers are there? | |
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Part B | How many \((0,7)\)-pandigital prime numbers are there? |