6.042J Study Guide - Midterm Guide: Empty Set, Pigeonhole Principle, Pashmina

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2 we define the code of the numbered tree to be a sequence of n. An n vertex numbered tree is a tree whose vertex set is 1 2. There are 20 books on a shelf describe a bijection between ways of choosing 6 of these books so that no two adjacent books are selected and. 1 s that maps to it namely the string obtained by replacing each of the first five 1 s in the 15 but string by a 10 n for some n. Let be the possible nonnegative integer solutions to the trees to codes is also a surjection inequality. Describe a bijection between and the set of binary string with n zeros and k ones the notation indicates a length x string of zeros so. Let be the length k weakly increasing sequences of nonnegative integers n that is. Ways to order the students in each of the 4 consecutive sublists.

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