Question:medium

The number of integral solutions of \[ x+y+z=13 \] such that \[ 1\le x\le9,\qquad 0\le y\le9,\qquad 0\le z\le9 \] is

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For bounded integral solutions, first count unrestricted non-negative solutions and then remove invalid cases using Inclusion-Exclusion.
Updated On: Jun 18, 2026
  • \(105\)
  • \(66\)
  • \(69\)
  • \(83\)
Show Solution

The Correct Option is C

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