Solve the problem for the compound events.A combination lock has 3 dials with 10 numbers per dial. How many possible combinations of numbers could be set to open the lock?
To solve this problem, we need to determine the total number of possible combinations of numbers for each dial and then multiply them together
To solve this problem, we need to determine the total number of possible combinations of numbers for each dial and then multiply them together.
There are 10 numbers to choose from for each of the 3 dials. Therefore, the number of possible combinations for each dial is 10.
To find the total number of possible combinations, we multiply the number of combinations for each dial together. This can be done using the multiplication principle, which states that to find the number of ways two or more independent events can occur, we multiply the number of possibilities for each event.
So, the total number of possible combinations of numbers for the lock is:
10 x 10 x 10 = 1000
Therefore, there are 1000 possible combinations of numbers that could be set to open the lock.
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