Soru

A logistics firm generates a 4-character tracking code, $c_1 c_2 c_3 c_4$, for express parcels according to the following rules:
- The first character, $c_1$, must be a non-zero digit ($1$ through $9$).
- The second character, $c_2$, must be a vowel chosen from the set $\{\text{A, E, I, O, U}\}$.
- The third character, $c_3$, must be an even digit ($0, 2, 4, 6, 8$).
- The fourth character, $c_4$, must be a consonant chosen from the set $\{\text{B, F, G, K, M, P}\}$.

If no digit may be repeated within the code, how many different tracking codes can be created?