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In the town called Alibaug, the following facts are true:

? No two inhabitants have exactly the same number of hairs.

? No inhabitants has exactly 2025 hairs.

? There are more inhabitants than there are hairs on the
head of any one inhabitants.

What is the largest possible number of the inhabitants of
Alibaug?

Answer Posted / guest

2025

It is given that no inhabitants have exactly 2025 hairs.
Hence there are 2025 inhabitants with 0 to 2024 hairs in the
head.

Suppose there are more than 2025 inhabitants. But these will
violate the condition that "There are more inhabitants than
there are hairs on the head of any one inhabitants." As for
any number more than 2025, there will be same number of
inhabitants as the maximum number of hairs on the head of
any inhabitant.

Is This Answer Correct ?    6 Yes 1 No



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