JEE Main Maths · Relations and Functions

Number of Onto Functions Using PIE

Number of Onto Functions Using PIE (Relations and Functions) was asked once in the 42 JEE Main shifts Lumi analysed, in 2023. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2023
Usual format: Numerical value; Multi-step
Pattern: Occasional; asked once so far

How it is asked

Count onto functions with restriction

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Relations and Functions. Topic: Permutations and Combinations, 50 questions over 22 ideas.

The question

Newest first, each with its options and official answer.

8 Apr 2023, Shift 2 · Q23Let $R = \{a, b, c, d, e\}$ and $S = \{1, 2, 3, 4\}$ . Total number of onto functions $f: R \to S$ such that $f(a) \neq 1$ , is equal to…HardNumerical value