A function f from {1, 2, 3, 4} to {1, 2, 3} gives each of the numbers 1, 2, 3 and 4 a value 1, 2 or 3. For how many such functions is f(1) + f(2) + f(3) + f(4) = 8? Two functions are different when they differ at even one point.

MathematicsMediumHigh School (11–12)Functions and Calculus › Counting Functions JEE Main

A function $f$ from $\{1, 2, 3, 4\}$ to $\{1, 2, 3\}$ gives each of the numbers 1, 2, 3 and 4 a value $1$ , $2$ or $3$ . For how many such functions is $f(1) + f(2) + f(3) + f(4) = 8$ ? Two functions are different when they differ at even one point.

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