Final answer:
The total number of combinations for a password comprised of 3 letters and 3 numbers with repetition allowed is 17,576,000, which is calculated by doing (26^3) × (10^3).
Step-by-step explanation:
The question asks us to determine the number of possible combinations for a password that consists of 3 letters and 3 numbers, where repetition is allowed. Since there are 26 possible letters and 10 possible numbers (0-9), we calculate the number of combinations by raising the number of possibilities to the power of the occurrences. For the letters, it's 26 possibilities raised to the power of 3. For the numbers, it's 10 possibilities raised to the power of 3.
Therefore, the total number of combinations is (26^3) × (10^3). When calculated, this gives us 26 × 26 × 26 × 10 × 10 × 10 = 17,576 × 1,000 = 17,576,000 combinations. So the correct answer is none of the provided options (a, b, c, or d), as they all fall short of the correct total.