JEE Main 2022 Mathematics question

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

Answer: (2)

Solution

f(3) can be 2, 3, 4, 5 or 6. For f(3) = 2: (f(1), f(2)) = (1, 1), 1 way. For f(3) = 3: (1, 2), (2, 1), 2 ways. For f(3) = 4: (1, 3), (3, 1),

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Question ID VK-024804