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2. How many words does an English text need to have, so that at least two words start with the same letter? 2. Suppose you

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2. How many words does an English text need to have, so that at least two words start with the same letter? 2. Suppose you place 5 rooks on a 4 x 4 grid (checkerboard). Can you avoid two rooks (or more) threaten each other? (Think about pigeonhole principle )

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