ProbabilityHard
Question
A mapping is selected at random from all the mappings defined on the set A consisting of three distinct elements. The probability that the mapping selected is one to one is:
Options
A.1/9
B.1/3
C.1/4
D.2/9
Solution
A → A
3 elements 3 elements
n(s) = number of mapping from A to A = 33 = 27
n(E) = number of one-one from A to A = 3! = 6
P =
3 elements 3 elements
n(s) = number of mapping from A to A = 33 = 27
n(E) = number of one-one from A to A = 3! = 6
P =
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