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# h8 - ±[10 Let d be a positive integer Show that among any...

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[40] Homework 8 : Basic Counting [5] How many bit strings of length 10 begin and end with a 1? [5] How many strings of four decimal digits do not contain the same digit twice? [10] What is the minimum number of students required in a programming class to be sure that at least eight will receive the same grade (there are Fve possible grades; A, B, C, D, and
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Unformatted text preview: ±). [10] Let d be a positive integer. Show that among any group of d +1 (not necessary consecutive) integers there are two with exactly the same remainder when they are divided by d . [10] How many subsets with more than two elements does a set with 15 elements have? 1...
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