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Functions question

2022 · 25 Jul · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 25 Jul · Shift 2 · Q25

Functions question

2022 · 25 Jul · Shift 2 · Q25

JEE MainMathematicsFunctionsMCQ+4 / −1

The number of bijective functions

f:\{1,3,5,7, \ldots, 99\} \rightarrow\{2,4,6,8, \ldots .100\}

, such that

f(3) \geq f(9) \geq f(15) \geq f(21) \geq \ldots . . f(99)

, is

\underline{\hspace{2cm}}

.

A
${ }^{50} P_{17}$
B
${ }^{50} P_{33}$
C
$33 ! \times 17$ !
D
$\frac{50!}{2}$

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