Question: True or false? explain A. If a permutation contains a 132-pattern, then it contains a 132-pattern in which two entries are in consecutive positions. B.

True or false? explain

A. If a permutation contains a 132-pattern, then it contains a 132-pattern in which two entries are in consecutive positions. B. Let X be a random variable whose range is the set {1,2,...,n}. Let q; be the probability that X (a) > i, for some randomly selected element a of the domain of X. Then E (X) - Li qi. C. Let p be a 1324-avoiding permutation, and let p' be the permutation that is left after we remove all left-to-right minima of p. Then p' is 213-avoiding

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