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Number of functions with f(1) + f(2) equal to another value of f

The same question, asked 2 times: 25 Jul 2022*, 11 Apr 2023. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jul 2022

    61
    The total number of functions,
    f:{1,2,3,4}→{1,2,3,4,5,6}\mathbf{f:\{ 1,2,3,4\} \rightarrow \{ 1,2,3,4,5,6\}}
    such that f(1)+f(2)=f(3)f(1) + f(2) = f(3), is equal to:

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  2. Question 2

    11 Apr 2023

    176
    Let A={1,2,3,4,5}\mathbf{A = \{ 1,2,3,4,5\}} and B={1,2,3,4,5,6}\mathbf{B = \{ 1,2,3,4,5,6\}}. Then the number of functions f:A→Bf:A \rightarrow B satisfying f(1)+f(2)=f(4)−1f(1) + f(2) = f(4) - 1 is equal to