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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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?
Jon
4.6110 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 is216
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:
4. Therefore, the number of unique combinations is:
Thus, the answer is
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