1. In a race in which eight automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
  1. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?
  1. The Senate in a certain state is comprised of 58 Republicans, 39 Democrats, and 3 Independents. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats?
  1. You are dealt one card from a standard 52-card deck.  Find the probability of being dealt a diamond.
  1. A group consists of six men and six women. Five people are selected to attend a conference.
  2. In how many ways can five people be selected from this group of twelve?
  3. In how many ways can five women be selected from the six women?
  4. Find the probability that the selected group will consist of all women.
  1. If you are dealt 33 cards from a shuffled deck of 52 cards, find the probability of getting two queens and on king.
  1. You are dealt one card from a 52-card deck. Find the probability that you are not dealt a king.
  1. You are dealt one card from a 52-card deck.  Find the probability that you are dealt a king or a red card.
  1. The mathematics department of a college has 6 male professors, 12 female professors, 15 male teaching assistants, and 6 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a professor or a male.

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