JEE Main20205 Sep 2020Evening ShiftMathematicsFunctionsActual
Let A = a , b , c and B = 1 , 2 , 3 , 4 . Then the number of elements in the set C = f : A → B ∣ 2 ∈ f ( A ) and f is not one-one is …
Correct answer
19
Step-by-step solution
only ' 2 ' in range → 1 function. Total no of many one function without any condition = 60-24=40. Number of many one function with 2 is not in range =27-6 =21. Therefore no of not one-one functions with 2 in range = 40-21=19.