Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q21
The number of one-one functions f:{ a, b, c, d } →{0,1,2, …, 10} such that 2 f( a )-f( b )+3 f( c )+f( d )=0 is \ \ \ \.
The number of one-one functions $\displaystyle f:\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}\} \rightarrow\{0,1,2, \ldots, 10\}$ such that $\displaystyle 2 f(\mathrm{a})-f(\mathrm{~b})+3 f(\mathrm{c})+f(\mathrm{~d})=0$ is \_\_\_\_.
Official answer
31
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.