n(a)=4 and n(b)=8 then total number of one one functions from A to B
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Step-by-step explanation:
120
n(A)=4 and n(B)=5
For one-one mapping
4 elements can be selected out of 5 elements of set B in
5
C
4
ways
and then those 4 selected elements can be mapped with 4 elements of set A in 4! ways.
Number of one-one mapping from A to B =
5
C
4
×4!=
5
P
4
=
(5−4)!
5!
=5!=120
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