I am trying to put the following in Python Code. I know how to do it mathematically, but code - not sure where to start.
A state creates license plates that each contain two letters followed by three digits. The first letter must be a vowel ( A, E, I, O, U ) and duplicate letters and digits are allowed. How many different license plates are possible?
To find the number of different license plates that are possible, you need to consider the number of choices for each character position.
Here's how you can approach this problem in Python:
1. First, define a list of vowels: ['A', 'E', 'I', 'O', 'U'].
2. Then, initialize a variable `count` to keep track of the number of different license plates. Set it to 0.
3. Use a nested loop to iterate over all possible combinations of letters and digits.
- For the first letter, iterate over the vowels list.
- For the second letter, iterate over all the 26 characters in the alphabet.
- For each of the three digits, iterate over all possible values (0 to 9).
4. Inside the nested loop, increment the `count` variable by 1 for each combination.
5. After the loops finish, `count` will hold the total number of different license plates possible.
Here's the Python code that implements the above algorithm:
```python
vowels = ['A', 'E', 'I', 'O', 'U']
count = 0
for first_letter in vowels:
for second_letter in 'ABCDEFGHIJKLMNOPQRSTUVWXYZ':
for digit1 in '0123456789':
for digit2 in '0123456789':
for digit3 in '0123456789':
# Create a license plate string by combining the letters and digits
license_plate = first_letter + second_letter + digit1 + digit2 + digit3
count += 1
print(count)
```
This code will iterate through all the possible combinations and calculate the total count of different license plates. Finally, it will print out the result.