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Using the digits 2 through 7, find the number of different 4-digit numbers such that: a. Digits cannot be repeated and must be written in increasing order. (Increasing means strictly increasing. For example, the digits of 134 are increasing, but the digits of 133 are not.) C(6,4) b. Digits can be repeated and must be written in non-decreasing order. (Now the digits don't need to be strictly increasing: 133 has digits non-decreasing.) C(8,4)

Using the digits 2 through 7, find the number of different 4-digit numbers such that: a. Digits cannot be repeated and must be written in increasing order. (Increasing means strictly increasing. For example, the digits of 134 are increasing, but the digits of 133 are not.) C(6,4) b. Digits can be repeated and must be written in non-decreasing order. (Now the digits don't need to be strictly increasing: 133 has digits non-decreasing.) C(8,4)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Try again Practice similar Help me with this *1 You have answered 1 out of 2 parts correctly. 4 attempts remaining. Using the digits 2 through 7, find the number of different 4-digit numbers such that: a. Digits cannot be repeated and must be written in increasing order. (Increasing means strictly increasing. For example, the digits of 134 are increasing, but the digits of 133 are not.) C(6,4) b. Digits can be repeated and must be written in non-decreasing order. (Now the digits don't need to be strictly increasing: 133 has digits non-decreasing.) C(8,4)
Transcribed Image Text:2. Try again Practice similar Help me with this *1 You have answered 1 out of 2 parts correctly. 4 attempts remaining. Using the digits 2 through 7, find the number of different 4-digit numbers such that: a. Digits cannot be repeated and must be written in increasing order. (Increasing means strictly increasing. For example, the digits of 134 are increasing, but the digits of 133 are not.) C(6,4) b. Digits can be repeated and must be written in non-decreasing order. (Now the digits don't need to be strictly increasing: 133 has digits non-decreasing.) C(8,4)
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