AP ICET 2017 Shift 2 Paper

Question : 150 of 200

Marks: +1, -0

Let F be the set of all functions from the set A of 4 elements to the set B of 6 elements. The probability that f selected at random from F is an injection is

$5/36$
$5/72$
$5/432$
$5/18$

Validate

Solution:

Total number of functions

=6^4=36×36

Number of injective functions

=6!/{(6-4)!}=6!/2!

=6×5×4×3=360

∴ Required probability

=360/{36×36}=5/18

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