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question let a be a set of six positive integers each of which is less than 13 show that there must be two distinct
question a group of 15 executives are to share 5 assistants each executive is assigned exactly 1 assistant and no
question a what is dynamic programming and how are recurrence relations used in algorithms that follow this paradigmb
question a explain how to solve linear homogeneous recurrence relations of degree 2b solve the recurrence relation an
question a give a formula for the number of elements in the union of three setsb explain why this formula is validc
question a penny collection contains twelve 1967 pennies seven 1968 pennies and eleven 1971 pennies if you are to pick
question a if repeated divisions by 20483 are performed how many distinct remainders can be obtainedb when 520483 is
question a certain college class has 40 students all the students in the class are known to be from 17 through 34 years
question a circular disk is cut into n distinct sectors each shaped like a piece of pie and all meeting at the center
question a if 13 cards are selected from a standard 52-card deck must at least 2 be of the same denomination whyb if 20
question a gambler decides to play successive games of blackjack until he loses three times in a row thus the gambler
question for use the definition of the euler phi function phi onuse the inclusionexclusion principle to prove the
question a if seven integers are chosen from between 1 and 12 inclusive must at least one of them be odd whyb if ten
question counting strings consider the set of all strings of as bs and csa make a list of all of these strings of
queston counting stringsa make a list of all bit strings of lengths zero one two three and four that do not contain the
question a how many integers from 1 through 1000 are multiples of 4 or multiples of 7b suppose an integer from 1
question a row in a classroom has n seats let sn be the number of ways nonempty sets of students can sit in the row so
question assume that birthdays are equally likely to occur in any one of the 12 months of the yeara given a group of
question assuming that all years have 365 days and all birthdays occur with equal probability how large must n be so
question a college conducted a survey to explore the academic interests and achievements of its students it asked
question a study was done to determine the efficacy of three different drugs-a b and c-in relieving headache pain over
question an interesting use of the inclusionexclusion rule is to check survey numbers for consistency for example
question a how many integers from 1 through 100000 contain the digit 6 exactly onceb how many integers from 1 through
question a combination lock requires three selections of numbers each from 1 through 39 suppose the lock is constructed
question in a certain state license plates consist of from zero to three letters followed by from zero to four digits