NIMCET 2024 Paper

Section: Mathematics

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Question : 2 of 120

Marks: +1, -0

The number of one-to-one functions

f:\{1,2,3\} ⟶\{a, b, c, d, e\}

is:

125
60
243
None of these

Solution:

The number of one-to-one functions from set A to

B ={ }^n P _r

, where

r

and

n

are the number of elements in A and B . Hence the answer is

{ }^5 P _3=5 × 4 × 3=60

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