if A has 5 elements and B has 9 elements then the number of one-one function from A to B is
(a) C(9,5)
(b) 9⁵
(c) 5⁹
(d) C(9,5) x 5!
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Answer:
n(A)=4 and n(B)=5
Step-by-step explanation:
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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