Let $\mathrm{A}={(\mathrm{a},\mathrm{b},\mathrm{c}):\mathrm{a},\mathrm{b},\mathrm{c}$ are non-negative integers and $\mathrm{a}+\mathrm{b}+2\mathrm{c}=22}$. Then $n(\mathrm{A})$ is equal to: [JEE Main 2026, 4 Apr (Shift 2)]

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Let \(\mathrm{A}={(\mathrm{a},\mathrm{b},\mathrm{c}):\mathrm{a},\mathrm{b},\mathrm{c}\) are non-negative integers and \(…

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