Question: (6 pts) You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of

  1. (6 pts) You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get a) a pair of any kind, b) a pair of Kings, and c) all four Kings.
  2. (2 pts) Use the binomial theorem to expand (x + 3y)^4 . You must illustrate use of the binomial theorem.

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