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Q. The sum of all $3$ -digit numbers less than or equal to $500$ , that are formed without using the digit "$1$" and they all are multiple of $11$, is

JEE MainJEE Main 2021Permutations and Combinations

Solution:

$209,220,231, \ldots, 495$
Sum $=\frac{27}{2}(209+495)=9504$
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Required $=9501-(231+341+451+319+418)$