2002 AMC 12A Problem 17

Several sets of prime numbers, such as \{7,83,421,659\} use each of the nine nonzero digits exactly once. What is the smallest possible sum such a set of primes could have?

\text{(A) }193 \qquad \text{(B) }207 \qquad \text{(C) }225 \qquad \text{(D) }252 \qquad \text{(E) }447

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.