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Omni-MATH / Let n be the answer to this problem. We define the digit sum of a date as the sum of its 4 digits when expressed in mmdd format (e.g. the digit sum of 13 May is 0+5+1+3=9). Find th…

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problem

Let nn be the answer to this problem. We define the digit sum of a date as the sum of its 4 digits when expressed in mmdd format (e.g. the digit sum of 13 May is 0+5+1+3=90+5+1+3=9). Find the number of dates in the year 2021 with digit sum equal to the positive integer nn.
Plain-text mathematical notation (without MathML)
Let n be the answer to this problem. We define the digit sum of a date as the sum of its 4 digits when expressed in mmdd format (e.g. the digit sum of 13 May is 0+5+1+3=9). Find the number of dates in the year 2021 with digit sum equal to the positive integer n.
Original LaTeX notation
Let $n$ be the answer to this problem. We define the digit sum of a date as the sum of its 4 digits when expressed in mmdd format (e.g. the digit sum of 13 May is $0+5+1+3=9$). Find the number of dates in the year 2021 with digit sum equal to the positive integer $n$.

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