Question
lock uses 3 numbers as an unlock code, each of which can, be 0 to 10 . If there are no restrictions on the numbers, how many
ossible unlock codes are available?
ossible unlock codes are available?
Ask by Bowen Osborne. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 1,331 possible unlock codes.
Solution
We are given that each unlock code consists of 3 numbers, and each number can be any integer from
Since the choices for each of the three numbers are independent, the total number of possible unlock codes is the product of the choices for each number. Therefore, the total number of unlock codes is:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
With each of the three numbers in the unlock code having the option to be any integer from 0 to 10, you essentially have 11 choices for each number — 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. To find the total number of possible unlock codes, you multiply the number of choices together:
11 choices for the first number × 11 choices for the second number × 11 choices for the third number equals 11 × 11 × 11 = 1331 possible unlock codes!
So, you’ve got a whopping 1331 combinations to choose from! Happy unlocking!
