Question

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!​

Answer 1

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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