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How many friends must you have to guarantee that at least five of them will have birthday in the same month?
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Extended pigeonhole principle.

Let "n" be the number of pigeon and "m" be the number of pigeonholes and

If (m < < n) i.e. number of pigeonholes are less than the number of pigeons then extended pigeonhole principle is applicable

According to extended pigeonhole principle one pigeonhole must contains at-least …

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