The arithmetic mean of the nine numbers in th | vedclass

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(A) The given set contains $9$ numbers: $9, 99, 999, \dots, 999999999$.To find the arithmetic mean $N$,we calculate the sum of these numbers and divid

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$0$

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(A) The given set contains $9$ numbers: $9, 99, 999, \dots, 999999999$.To find the arithmetic mean $N$,we calculate the sum of these numbers and divide by $9$:$N = \frac{9 + 99 + 999 + \dots + 999999999}{9}$$N = \frac{9(1 + 11 + 111 + \dots + 111111111)}{9}$$N = 1 + 11 + 111 + 1111 + 11111 + 111111 + 1111111 + 11111111 + 111111111$Performing the addition:$N = 123456789$The digits of $N$ are ${1, 2, 3, 4, 5, 6, 7, 8, 9}$.Comparing this with the given options,the digit $0$ is not present in $N$.

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

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