How many possible license plates can be formed consisting of five letters in the first letter must be either M,N, or P?
assuming that letters may be repeated, and no words formed are restricted ....
number of plates = 3x26x26x26x26
= 3(26^4)
= ...
To find the number of possible license plates, we need to consider the choices for each letter in the license plate.
Since the first letter must be either M, N, or P, there are 3 choices for the first letter.
For the remaining four letters, there are 26 choices for each letter (since we have 26 letters in the English alphabet).
To find the total number of possibilities, we multiply the choices for each letter together:
3 choices for the first letter * 26 choices for each of the remaining four letters = 3 * 26^4
So, the total number of possible license plates that can be formed with these conditions is 3 * 26^4.