please answer this question and take points and also brain list mark.. pls give me the correct answer then I will select
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Answer:
Step-by-step explanation:
As, the number of surjections from A to B is equal to the number of functions from A to B minus the number of functions from A to B whose images are proper subsets of B.
⇒ And, the number of functions from a set with n number of elements into a set with m number of elements =m
n
.
So, the number of surjections from A into B where,
⇒ A={1,2,....,n} and B={a,b} is 2
n
−2 (As, two functions can be many-one into functions )
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