Permutations or Combinations?
1. A Poker hand consists of 5 cards dealt at random from a deck of 52 cards. There are 2 598 960 possible hands (52C5). How many of those hands include exactly two Queens? Hint: You need two of the four queens, and three cards from those that are not queens.
2. A class of 8 students are giving presentations. The teacher needs to put them in order. Arun does not want to go first or last. In how many different ways could the order be arranged to keep Arun happy?