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Sagot :
Answer: 397,440
This is one single number that's slightly smaller than 400 thousand.
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Explanation:
There are 26 letters in the english alphabet. We don't use letters i or o, so we have 26-2 = 24 choices for that first slot.
Then we have 10 choices for the second slot because there are 10 single digits 0 (zero) through 9.
After making the selection for the second slot, we have 10-1 = 9 choices left for the third slot. The fourth slot has 10-2 = 8 digits to pick from. The subtraction occurs because we cannot reuse the digits.
Finally, the last slot will be a letter. We have 24-1 = 23 letters left to pick from.
Overall, we have 24*10*9*8*23 = 397,440 different license plates possible.
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Extra info (optional section)
You may be wondering "why do we multiply those values?". Well consider a simple example of having only 2 slots instead of 5.
Let's say the first slot is a letter A to Z, excluding letters i and o. The second slot will be the digit from 0 through 9.
If you make a table with 24 rows and 10 columns, then you'll have 24*10 = 240 cells overall. Notice the multiplication here. The 24 rows represent each letter, and the 10 columns are the digit numeric digits.
Each inner cell is a different two character license plate. For example A5 is one such plate. This idea can be extended to have 5 characters.
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