Solution Found!
Automobile License Plate An automobile license plate
Chapter 4, Problem 27RE(choose chapter or problem)
Problem 27RE
Automobile License Plate An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made if repetitions are allowed? If repetitions are not allowed? If repetitions are allowed in the letters but not in the digits? (4–4)
Questions & Answers
QUESTION:
Problem 27RE
Automobile License Plate An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made if repetitions are allowed? If repetitions are not allowed? If repetitions are allowed in the letters but not in the digits? (4–4)
ANSWER:
Problem 27RE
Automobile License Plate An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made if repetitions are allowed? If repetitions are not allowed? If repetitions are allowed in the letters but not in the digits? (4–4)
Step by step solution
Step 1 of 3
No. of letters = 26
No. of digits = 10
No. of 3 letters arrangement, if repetitions are allowed = 26 x 26 x 26
No. of 3 digits arrangement, if repetitions are allowed = 10 x 10 x 10 x 10
No. of plates that can be made if repetitions are allowed = 26x26x26x10x10x10x10 = 175760000