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?

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Jon

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109 Answers

1. The die has 6 faces, so each roll can result in one of 6 possible outcomes.

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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