you buy a bicycle lock with 4 dials to enter the combination. the first dial has numbers from 0 to 9, the next dial has numbers from 3 to 8, the next has numbers from 0 to 4 and the last has letters from A to Z. write the equation for the number possible combinations of the lock. help me
just count the possibilities on each dial, and multiply them.
To find the number of possible combinations for the lock, you need to multiply the number of options for each dial.
In this case, you have four dials with the following options:
- Dial 1: 10 numbers from 0 to 9
- Dial 2: 6 numbers from 3 to 8
- Dial 3: 5 numbers from 0 to 4
- Dial 4: 26 letters from A to Z
To calculate the total number of combinations, you multiply the options for each dial:
10 (options for Dial 1) * 6 (options for Dial 2) * 5 (options for Dial 3) * 26 (options for Dial 4)
Using this equation, the number of possible combinations for the lock would be:
10 * 6 * 5 * 26 = 7,800 combinations
Therefore, there are 7,800 possible combinations for this bicycle lock.