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Using the digits 2 through 9, find the number of different 4-digit numbers such that: a. Digits can be used more than once. b. Digits cannot be repeated, but can come in any order. c. Digits cannot be repeated and must be written in increasing order.

Using the digits 2 through 9, find the number of different 4-digit numbers such that: a. Digits can be used more than once. b. Digits cannot be repeated, but can come in any order. c. Digits cannot be repeated and must be written in increasing order.

Advanced Engineering Mathematics
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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Discrete Math: Combinations and Permutations

Using the digits 2 through 9, find the number of different 4-digit numbers such that: a. Digits can be used more than once. b. Digits cannot be repeated, but can come in any order. c. Digits cannot be repeated and must be written in increasing order.
Transcribed Image Text:Using the digits 2 through 9, find the number of different 4-digit numbers such that: a. Digits can be used more than once. b. Digits cannot be repeated, but can come in any order. c. Digits cannot be repeated and must be written in increasing order.
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