License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can be any letters from Á to Z and the last four spaces on the plate can be any numbers from 0 to 9. Assume that all possible combinations of letters and numbers are considered valid license plates. How many different plates are possible? A father wants the letters on his license plate to read "D A D." How many different plates could be made where the letters read "D A D"? A person witnessed a hit-and-run. They tell police that the license plate of the car that drove off was an Oklahoma license plate. The witness was sure that the first letter on the plate was an R, the first number on the plate was a 3, 6, or 8, and the last number on the plate was a 1 or a 7. How many different plates could exist with these conditions?

License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can be any letters from Á to Z and the last four spaces on the plate can be any numbers from 0 to 9. Assume that all possible combinations of letters and numbers are considered valid license plates. How many different plates are possible? A father wants the letters on his license plate to read "D A D." How many different plates could be made where the letters read "D A D"? A person witnessed a hit-and-run. They tell police that the license plate of the car that drove off was an Oklahoma license plate. The witness was sure that the first letter on the plate was an R, the first number on the plate was a 3, 6, or 8, and the last number on the plate was a 1 or a 7. How many different plates could exist with these conditions?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

License plates in Oklahoma are of the form A
BC123 4, where the first three spaces on
the plate can be any letters from Á to Z and
the last four spaces on the plate can be any
numbers from 0 to 9. Assume that all possible
combinations of letters and numbers are
considered valid license plates.
How many different plates are possible?
A father wants the letters on his license plate
to read "D A D." How many different plates
could be made where the letters read “D A
D"?
A person witnessed a hit-and-run. They tell
police that the license plate of the car that
drove off was an Oklahoma license plate. The
witness was sure that the first letter on the
plate was an R, the first number on the plate
was a 3, 6, or 8, and the last number on the
plate was a 1 or a 7. How many different
plates could exist with these conditions?

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