Let $P$ be the set of seven digit numbers with sum of their digits equal to $11.$ If the numbers in $P$ are formed by using the digits $1,2$ and $3$ only, then the number of elements in the set $P$ is

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Let \(P\) be the set of seven digit numbers with sum of their digits equal to \(11.\) If the numbers in \(P\) are formed…

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