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3. Count the number of 5-digit strings from 10000 to 45000 where the sum of the digits is precisely 9. Restate this problem using a counting method from class. Clearly indicate all notation, and any parameters or constraints you require.

3. Count the number of 5-digit strings from 10000 to 45000 where the sum of the digits is precisely 9. Restate this problem using a counting method from class. Clearly indicate all notation, and any parameters or constraints you require.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Count the number of 5-digit strings from 10000 to 45000 where the sum of the digits is precisely 9. Restate this problem using a counting method from class. Clearly indicate all notation, and any parameters or constraints you require. 4. Give an algebraic proof of the following by applying the factorial definition of the choose function: (2) (5) 29-(-3) k r
Transcribed Image Text:3. Count the number of 5-digit strings from 10000 to 45000 where the sum of the digits is precisely 9. Restate this problem using a counting method from class. Clearly indicate all notation, and any parameters or constraints you require. 4. Give an algebraic proof of the following by applying the factorial definition of the choose function: (2) (5) 29-(-3) k r
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