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Mathematics · 2025

JEE Main · 24 January 2025, Shift 2 · Q21

Number of functions f:{1,2, …, 100} →{0,1}, that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to ____.

Number of functions $\displaystyle f:\{1,2, \ldots, 100\} \rightarrow\{0,1\}$, that assign $\displaystyle 1$ to exactly one of the positive integers less than or equal to $\displaystyle 98$, is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.