In a certain country, area codes have four digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4; the second digit can only be 0, 1, 2, 3, 4, or 5; and there are no restrictions on the remaining digits. How many different area codes are possible?
In a certain country, area codes have four digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4; the second digit can only be 0, 1, 2, 3, 4, or 5; and there are no restrictions on the remaining digits. How many different area codes are possible?
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 21E: License Plate Numbers In the state of Pennsylvania, each standard automobile license plate number...
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![In a certain country, area codes have four digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4; the second digit can only be 0, 1, 2, 3, 4, or 5; and there are no restrictions on the remaining digits. How many different area codes are possible?
Express the number of area codes as a product.
Total number of area codes =
(Do not multiply.)
The number of possible area codes is
(Simplify your answer.)
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4726056b-a0d8-4167-a534-8f03670a441a%2F04bd190f-046e-4962-95fd-f2bb5dbd55c4%2Fsey2p3l_processed.png&w=3840&q=75)
Transcribed Image Text:In a certain country, area codes have four digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4; the second digit can only be 0, 1, 2, 3, 4, or 5; and there are no restrictions on the remaining digits. How many different area codes are possible?
Express the number of area codes as a product.
Total number of area codes =
(Do not multiply.)
The number of possible area codes is
(Simplify your answer.)
C
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