In a certain state, license plates cach consist of 2 letters followed by 3 digits. (a) how many different license plates are there? there are only upper case letters. (b) how many different license plates are there that have no repeated letters or digits?

(a) 676000

(b) 468000

Step-by-step explanation:

We know that the total number of digits in the number system from 0 to 9= 10

The total number of letters in English alphabet (Only upper case) from A to Z = 26

Given : In a certain state, license plates cach consist of 2 letters followed by 3 digits.

(a) If repetition is allowed , then the total number of different license plates there are :-

hence, the number of different license plates = 676000

(b)  If repetition is not allowed , then the total number of different license plates there are :-

Hence, the number of  different license plates are there that have no repeated letters or digits=468000

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.