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  4. The arithmetic mean of the nine numbers in the given set 9,99,999, ldots 999999999 is a 9 digit number N, all whose digits are distinct. The number N does not contain the digit

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Q. The arithmetic mean of the nine numbers in the given set $\{9,99,999, \ldots 999999999\}$ is a $9$ digit number $N$, all whose digits are distinct. The number $N$ does not contain the digit

Sequences and Series

Solution:

$\left[\right.: N=\frac{1}{9}\{9+99+999+\ldots+999999999\}=1+11$
$+111+\ldots+111111111 $
$=1\,2\,3\,4\,5\,6\,7\,8\,9$