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A political discussion group consists of five Democrats and six Republicans. Four people are selected to attend a conference. In how many ways can four

A political discussion group consists of five Democrats and six Republicans. Four people are selected to attend a conference.

  1. In how many ways can four people be selected from this group of eleven?
  2. In how many ways can four Republicans be selected from the six Republicans?
  3. Find the probability that the selected groups will consist of all Republicans.

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