If a state wants each of its license plates to contain 3 different letters of the alphabet followed by 5 different digits, how many different license plates can it make

There are 26 alphabets, and we want the first 3 to be different alphabets. So, the first three characters have the probability:

Next, we want 5 different digits. There are 10 total digits (including 0), so that will look like:

Combining those two statements, we get:

Thus, your answer is 471744000.

; )

step-by-step explanation: ; )

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1