(related to Problem: The Parish Council Election)
The voter can vote for one candidate in $23$ ways, for two in $253$ ways, for three in $1,771,$ for four in $8,855,$ for five in $33,649,$ for six in $100,947,$ for seven in $245,157,$ for eight in $490,314,$ and for nine candidates in $817,190$ different ways. Add these together, and we get the total of $1,698,159$ ways of voting.
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