Ask Question
17 June, 07:39

To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. Finally, you turn the dial back to the right and stop at a third number. If you used the correct sequence of numbers, the lock opens. If the dial of the lock contains 12 numbers, 0 through 11, determine the number of different combinations possible for the lock. Note: The same number can be reused consecutively.

+1
Answers (2)
  1. 17 June, 10:46
    0
    1728

    Step-by-step explanation:

    There are 12 numbers that can be used for the first number; 12 for the second number; and 12 for the third number. This means there are a total of

    12 (12) (12) = 1728 combinations.
  2. 17 June, 11:36
    0
    Number of different combinations possible: 1,728.

    Explanation:

    The fundamental principle of counting establises tha if there are A ways to perform an action, B way to perform a second independent action, and C ways of performin a third independent action, then the number of ways to perform the three actions is equal to the product A * B * C.

    To open the combination lock, you:

    First number (turn the dial to the right and stop at a number) : there are 12 different options for the first number.

    Second number (turn the dial to the left and stop at a second number) : there are also 12 different options for the second number.

    Third number (turn the dial back to the righ and stop at a third number) : again, 12 different options for the third number.

    Number of different combinations possible: 12 * 12 * 12 = 1,728.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers