User IDs on a website consist of four lowercase letters (a–z) followed by one digit (0–9). An example would be abcd1. Determine thenumber of user IDs possible if: (a) the first letter must beq, the...

User IDs on a website consist of four lowercase letters (a–z) followed by one digit (0–9). An example would be abcd1. Determine thenumber of user IDs possible if:

(a) the first letter must beq, the digit must be less than4, andrepetition is permitted.

(b) the letters must not be vowels (a, e, i, o, u), the number must be even, and repetition is not permitted.