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The arithmetic mean of the nine numbers ...

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

Text Solution

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`Mean = (9+99+999+....+999999999)/9` `= 9((1+11+111+...+111111111))/9`
`=1+11+111+...+111111111`
As we know,
`1+11=12`
`1+11+111=123`
Similarly,
`1+11+111+1111+....+111111111=123456789=N`
...
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