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Mathematics · 2023

JEE Main · 15 April 2023, Shift 1 · Q22

A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the sum of the…

A person forgets his $\displaystyle 4$-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is $\displaystyle 7$ and the sum of the first two digits is equal to the sum of the last two digits. Then the maximum number of trials necessary to obtain the correct code is $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.