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Functions question

2021 · 26 Feb · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Functions
2021 · 26 Feb · Shift 2 · Q33

Functions question

2021 · 26 Feb · Shift 2 · Q33

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

A = \{ 1,2,3,....,10\}

and

f:A \to A

be defined as

f(k) = \left\{ {\begin{matrix} {k + 1} & {if\,k\,is\,odd} \\ k & {if\,k\,is\,even} \\ \end{matrix} } \right.

Then the number of possible functions

g:A \to A

such that

gof = f

is :

A
55
B
105
C
5!
D
10C5

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