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Combinatorics

ww2.coastal.edu Course: MATH307-01 Combinatorics SP19 ww2.coastal eduymbly 307.html Х ww2.coastal.edu/mbly/S19,Files/Hw.for_Jan25.pdf Probabilities for Rolling Three Dice 3. Consider the figure to the right (a) [3pt] Put an H or a T in each square of the figure such that, read clockwise, the eight se- quences of three consecutive squares contain each sequence of three possible coin-flip out comes (HHH, HH . I, etc.) exactly once (b) [2pt] Exactly four of the squares contain H and exactly four squares contain T. Explain why this occurs. (c) 2pt] No sequence of four consecutive squares contain all H or all T. Explain why this occurs

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