English and mathematics olympiad 2 year

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1. There are 5 seats in the first row in a cinema hall. 5 visitors including

   Jack and Mary take random seats in the row. What is the probability

   that Jack and Mary will sit next to each other?

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1. Choose a convergent series.

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 the matrix A

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be either a zero matrix or a unit matrix

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• det A ∈ {0,1}

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