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The captain of a chess team assigns himself to board 1. If there are six players (including the captain), how many ways can the team

  1. The captain of a chess team assigns himself to board 1. If there are six players (including the captain), how many ways can the team be assigned to the boards if there are six chess boards
  2. The probability of event A happening is 3/5 and the probability of event B happening is 2/3. What is the probability of both A and B happening?
  3. The probability of event A happening is 3/5 and the probability of event B happening is 2/3. What is the probability of only event A happening, i.e. event A happening and event B not happening?

  1. You are a teacher with 20 students in your class. You need to split them into pairs, each treated the same. How many ways can you do this

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  1. The probability of event A happening is 3/5 and the probability of event B happening is 2/3. What is the probability of either A, or B, or A and B happening

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