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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.) 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.)

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.) 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.)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.5: Percents
Problem 13WE
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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.) 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.) поп
Transcribed Image Text: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.) 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.) поп
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