How many possible license plates can be formed consisting of three letters in the first letter must be either M,N, or P?
I will assume that letters can be repeated.
So for your first letter you can only choose from 3 letters.
Number = 3x26x26 = ....
Well, let me calculate that for you. If we have three spaces for letters, and the first space can only be M, N, or P, that means we have 3 choices for the first letter. For the second and third spaces, we have 26 letters of the alphabet to choose from. So the total number of possible license plates is 3 multiplied by 26 multiplied by 26, which equals... let me carry the joke... 3 x 26 x 26... uh, hold on, my calculator seems to be making clown noises... okay, it's done clowning around! The answer is 2,028! That's a lot of potential plates! No clowning, I promise!
To calculate the number of possible license plates consisting of three letters, where the first letter must be either M, N, or P, we can use the multiplication principle.
Step 1: Count the number of choices for each position:
- For the first letter, there are 3 choices (M, N, or P).
- For the second letter, there are 26 choices (any letter of the alphabet).
- For the third letter, there are 26 choices (any letter of the alphabet).
Step 2: Multiply the number of choices for each position:
3 choices for the first letter × 26 choices for the second letter × 26 choices for the third letter = 3 × 26 × 26 = 1,956 possible license plates.
Therefore, there are 1,956 possible license plates that can be formed consisting of three letters, where the first letter must be either M, N, or P.
To find the number of possible license plates consisting of three letters where the first letter must be either M, N, or P, we can break down the problem into individual parts.
Step 1: Determine the number of choices for the first letter.
Since the first letter must be either M, N, or P, there are three possible choices for the first letter.
Step 2: Determine the number of choices for the second and third letters.
For the second and third positions in the license plate, there are 26 possible choices for each letter because there are 26 letters in the English alphabet.
Step 3: Multiply the number of choices for each position to calculate the total number of possible license plates.
To find the total number of possible license plates, we multiply the number of choices for each position:
Number of choices for the first letter: 3
Number of choices for the second letter: 26
Number of choices for the third letter: 26
Total number of possible license plates = (Number of choices for the first letter) * (Number of choices for the second letter) * (Number of choices for the third letter)
= 3 * 26 * 26
= 2,028
Therefore, there are a total of 2,028 possible license plates that can be formed with three letters where the first letter must be either M, N, or P.