solutions, please be quick as possible

1 1- Twelve face cards are removed from a deck of fifty-two cards. From the face cards, three card hands are dealt. Determine the number of distinct three card hands that are possible which include a- No restrictions. (2A) b- 3 Kings {2A} 12- If there are 12 books on the shelf, in how many ways can your an'ange them, based only on color, so that a- Each book is a different color? (1K) b- Two books are yellow, ve are red, and the rest are of different colors?(2K) 13- In a certain state's lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are drawn at random. If the six numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in doesn't matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. (2T) 14- Compute the probability of randomly drawing ve cards from a deck and getting exactly one Ace.(2K) 15- Determine the probability of drawing each of the following from a standard deck of cards. a- aSoraTaK) b- a face card or a black card .(2K) 16- You own 16 CD5. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? (2K) l'?- The marketing department of a magazine collects the following information for a group of randome selected subscribers. Of households that subscribe to at least one of their three magazines: 25 subscribe to Teen World only 19 subscribe to Star Watch only 15 subscribe to Fashionz onl},r 41 subscribe to Teen World and Star Watch 28 subscribe to Star Watch and FHShlZ 32 subscribe to Teen World and Fashion: 1 I subscribe to all three magazines a- Illustrate this with a Venn diagram. .(lK) b- Determine the probability that a randome selected subscriber receives i} all three magazines. (2A) ii) Fashion: (2A)