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question a witness to a hit-and-run accident tells the police that the license plate of the car in the accident which
question how many ways are there to distribute six objects to five boxes ifa both the objects and boxes are labeledb
question a fortune cookie company makes 213 different fortunes a student eats at a restaurant that uses fortunes from
question an ice cream parlor has 28 different flavors 8 different kinds of sauce and 12 toppingsa in how many different
question a how many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of the four
question once a computer worm infects a personal computer via an infected e-mail message it sends a copy of itself to
question a how many ways are there to deal hands of five cards to six players from a standard 52-card deckb how many
question a derive a formula for the number of permutations of n objects of k different types where there are n1
question a let n and r be positive integers explain why the number of solutions of the equation x1 x2
question a explain how to find a formula for the number of ways to select r objects from n objects when repetition is
question a state the binomial theoremb explain how to prove the binomial theorem using a combinatorial argumentc find
question what is meant by a combinatorial proof of an identity how is such a proof different from an algebraic
question a what is pascals triangleb how can a row of pascals triangle be produced from the one above
question a what is the difference between an r-combination and an r-permutation of a set with n elementsb derive an
question a state the pigeonhole principleb explain how the pigeonhole principle can be used to show that among any 11
question how can you find the number of possible outcomes of a playoff between two teams where the first team that wins
question suppose that the name of a file in a computer directory consists of three digits followed by two lowercase
question list all 3-permutations of 1 2 3 4 5 the remaining exercises in this section develop another algorithm for
question a how can the product rule be used to find the number of functions from a set with m elements to a set with n
question how many ways are there to distribute five balls into three boxes if each box must have at least one ball in
question suppose that a basketball league has 32 teams split into two conferences of 16 teams each each conference is
question suppose that a weapons inspector must inspect each of five different sites twice visiting one site per day the
question how many ways are there to travel in xyz space from the origin 0 0 0 to the point 4 3 5 by taking steps one
question a professor packs her collection of 40 issues of a mathematics journal in four boxes with 10 issues per box
question a student has three mangos two papayas and two kiwi fruits if the student eats one piece of fruit each day and