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4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

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Answer to a math question 4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

Expert avatar
Jon
4.6
110 Answers
1. The die has 6 faces, so each roll can result in one of 6 possible outcomes. 6
2. Since the combination is 3 digits long and each digit is determined by a roll of the die, we multiply the number of outcomes for each digit.
3. The total number of unique combinations is given by: 6 \times 6 \times 6 = 6^3
4. Therefore, the number of unique combinations is: 216

Thus, the answer is 216.

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