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Combinatorics Questions
A chessboard is an 8 x 8 grid.
TURING MCHINE
General Counting Methods for Arrangements and Selections
How many binary sequences of length 20 are there that (a) Start with a run of 0s—that is, a consecutive sequence of (at least) one 0—then a run of 1s, then a run of 0s, then a run of 1s, and finally finish with a run of 0s? (b) Repeat part (a) with the co
Is any subgraph of a bipartite always bipartite? Prove, or give a counterexample.
Given 11 different integers from 1 to 20. Prove that at least two of them are exactly 5 apart. pigeonhole principle.
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