AMC 12 2002a 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?

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