Henry Ernest Dudeney/Puzzles and Curious Problems/120 - Proportional Representation

by : $120$

 * Proportional Representation
 * In a local election, there were ten names of candidates on a proportional representation ballot paper.
 * Voters should place No. $1$ against the candidate of their first choice.
 * They might also place No. $2$ against the candidate of their second choice,
 * and so on until all the ten candidates have numbers placed against their names.
 * The voters must mark their first choice, and any others may be marked or not as they wish.


 * How many different ways might the ballot paper be marked by the voter?