To determine The number of positive integers less than 10 , 000 such that sum of their digits is 8 . Explanation Let the digits be w , x , y , z . Number of digits less than 10 , 000 will have 4 digits. The number of non-negative solutions for the equation w + x + y + z = 8 as follows. C ( 8 + 4 − 1 , 4 − 1 ) = C ( 11 , 3 ) [ use C ( s +

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ISBN: 9780134689562

Author: Dossey, John A.

Publisher: Pearson,

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Chapter 8.4, Problem 27E

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The number of positive integers less than $10,000$ such that sum of their digits is $8$ .

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Chapter 8.4, Problem 26E

Chapter 8.4, Problem 28E

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Chapter 8 Solutions

Discrete Mathematics

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The number of positive integers less than 10 , 000 such that sum of their digits is 8 .

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The number of positive integers less than 10,000<m:math><m:mrow><m:mn>10</m:mn><m:mo>,</m:mo><m:mn>000</m:mn></m:mrow></m:math> such that sum of their digits is 8<m:math><m:mn>8</m:mn></m:math>.

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Chapter 8 Solutions

The number of positive integers less than $10,000$ such that sum of their digits is $8$ .