Hunter in the Enchanted Forest

In the enchanted forest lives a tribe of 150 people. Every day, the tribe members try to organize themselves to go hunting together,
and each day, each person participates or does not participate according to their choice. Prove that during one week, there will certainly be two people who arrive on exactly the same days.
Note: Even in the enchanted forest, a week has 7 days.

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Combinatorics -> Pigeonhole Principle
Sources:
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