The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is .

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Canvas Classes · Accepted Answer

🧠 Visualizing the Three-Digit Constraint
We are looking for integers between 100 and 1000, which means we are dealing with three-digit numbers . The examiner has given us a fixed sum: . The subtle hint here is the constraint on the hundreds digit —it cannot be zero (otherwise it wouldn't be a three-digit number). So, we need to solve  where  and .

🗺️ The Multiset Partition (Stars & Bars)
First, we use the standard "Stars and Bars" method for non-negative integers. Let . Then our equation bec

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