Probability II & Financial Math

For this module's assignment review the following.
In the following problem give your answer using the notation nPr or nCr. You don't have to give an actual numerical answer.
There are 10 athletes entered in a race. If a gold, silver, or bronze medal is given to three of the athletes, in how many ways can one pick the winners of the
gold, silver, and bronze medals?
There are 10 athletes entered in a race. If three identical gold medals are given to the group of athletes, in how many ways can one pick the winners of the
gold medals?
A card is drawn out of a standard deck of 52 cards. Each card can be described by giving its "rank" (A, 2, 3, 4,…10, J, Q, K) and its "suit" (H for hearts, C for
clubs, D for diamonds, and S for spades). For example, 2S denotes the two of spades and KH denotes the king of hearts. Write out the event described by
each of the following statements as a set.
E1: "draw a king."
E2: "draw a h