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

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2