Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7. How many octal numbers are 4 digits long and where the first digit must be from 1 to 7? How many 4-digit long octal numbers begin with 2 or 3? Digits can repeat. How many octal numbers are 4 digits long with no repeating digits, where the first digit must be from 1? How many octal numbers are 4 digits long and end in 6, and where the first digit must be from 3 to 5?

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
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Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7.

How many octal numbers are 4 digits long and where the first digit must be from 1 to 7?

How many 4-digit long octal numbers begin with 2 or 3? Digits can repeat.

How many octal numbers are 4 digits long with no repeating digits, where the first digit must be from 1?

How many octal numbers are 4 digits long and end in 6, and where the first digit must be from 3 to 5?

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