Solve the problem.
-How many different license plates can be made using 4 letters followed by 2 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?
A) 41,127,840
B) 889.880952
C) 35,880,000
D) 45,697,600

Question

Quizplus · Accepted Answer

For the letters, since repetition is not allowed, the first letter can be any of the 26 letters in the alphabet, the second can be any of the remaining 25, the third can be any of the remaining 24, and the fourth can be any of the remaining 23. This gives us 26 * 25 * 24 * 23 possible combinations for the letters. For the digits, since repetition is allowed, each of the two digits can be any of the 10 digits from 0 to 9, giving us 10 * 10 possibilities for the digits. Multiplying these together gives us the total number of different license plates possible: 26 * 25 * 24 * 23 * 10 * 10 = 35,880,000.

Solve the Problem. -How Many Different License Plates Can Be Made Using 4