Consider the Situation

Short Answer

Consider the situation. A political party holds a national convention with 1,100 delegates. At the convention, five persons (which we will call A, B, C, D, and E) have been nominated as the party's presidential candidate. After the speeches and hoopla, the delegates are asked to rank all five candidates according to his or her choice. However, before the vote, caucuses have narrowed the choices down to six different possibilities. The results of the first ballot are shown (choices, followed by the number of votes): ​
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How many possible rankings are there?