Use the information above to answer the following questions. Please show your work for all questions for any partial credit. You may leave your answers as expressions. (a) How many different five-card hands are there from a standard deck of 52 playing cards? (b) How many five-card hands have exactly two hearts? (c) How many five-card hands are made entirely of hearts and diamonds (they can be all hearts or all diamonds)? (d) A "full house" is a five-card hand that has two cards of the same rank and three cards of the same rank. For example, {queen of hearts, queen of spades, 8 of diamonds, 8 of spades, 8 of clubs}. How many five-card hands contain a full house? (e) How many five-card hands do not have any two cards of the same rank?