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Unformatted text preview: MATH 121 EXTRA PRACTICE PROBLEMS ON COMBINATORICS 1) Molly Weasley has 4 children currently enrolled at the Hogwarts School of Witchcraft and Wizardry (Fred, George, Ron, and Ginny). She must buy cauldrons from Diagon Alley for them, as cauldrons are one of the items on the school supplies list for the upcoming year. There are 50 cauldrons to choose from. How many different sets of cauldrons can she buy for Fred, George, Ron, and Ginny? 2) Liz is traveling in the southwest and wants to go to four cities out of the following: Phoenix, Dallas, Austin, Santa Fe, Albuquerque, Tuscon, and San Antonio. How many different travel routes can she take? 3) Sitting on a shelf are 4 copies of Hamlet , 2 copies of Macbeth , 1 copy of King Lear , 1 copy of A Midsummer Nights Dream , and 5 copies of Romeo and Juliet . How many distinct ways can you arrange these books by title? 4) Davis has an upcoming job interview. He must wear a collared shirt, a suit, a tie, dress pants, and dress shoes. Suppose he has 10 shirts, 1 suit, 8 ties, 5 pairs of pants, and 2 pairs of shoes.and dress shoes....
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