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Mathematics · 2021

JEE Main · 22 July 2021, Shift 2 · Q81

Let A ={0,1,2,3,4,5,6,7}. Then the number of bijective functions f: A → A such that f(1)+f(2)=3-f(3) is equal to \ \ \ \.

Let $\displaystyle \mathrm{A}=\{0,1,2,3,4,5,6,7\}$. Then the number of bijective functions $\displaystyle f: \mathrm{A} \rightarrow \mathrm{A}$ such that $\displaystyle f(1)+f(2)=3-f(3)$ is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.