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Number of six digit numbers in which sum...

Number of six digit numbers in which sum of the squares of the digits is 9 is

Text Solution

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There can be `3` possible cases.
Case 1: When one digit is `2` and remaining digits are `1`.
In this case, `2` can be in any of the `6` places.
So, possible numbers in this case `= 6`

Case 2: When two digits are `2` and one digit is `1` and remaining three digits are `0`.
In this case, `0` can not be the first digit as we have to find six digits number.
So, 3 `0's` can be selected in `C(5,3)*3!` ways.
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