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JEE Main 2026 · 4 Apr · Shift 1, Mathematics question 4

The number of functions f:{1,2,3,4}→{a,b,c}f:\{1,2,3,4\}\to\{a,b,c\}, which are not onto, is:

Choose one option
Answer and worked solution

Official answer: B

Count. All functions: 34=813^4=81. Onto functions: 34−3⋅24+3=363^4-3\cdot2^4+3=36.

Not onto: 81−36=4581-36=45.

(B)

Topics:Types of functionsDistribution and arrangements
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