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JEE Main 20205 SeptemberEvening Shift

Exam: JEE Main
Year: 2020
Date: 5 September
Shift: Evening Shift
Subject: Mathematics
Chapter: Functions

JEE Main 2020 · 5 September · Evening Shift · Mathematics · Functions

Let A = a, b, c and B = 1, 2, 3, 4 . Then the number of elements in...

Let

A = { a, b, c }

and

B = { 1, 2, 3, 4 } .

Then the number of elements in the set

C = { f: A \to B ∣ 2 \in f ( A )

and

f

is not one-one

}

is

\ldots

Correct answer

19

Step-by-step solution

only $' 2 '$ in range $\to 1$ 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.

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