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Let S be the set of all functions from the set A to the set A. If n(A) = k then n(S) is

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a
k!
b
kk
c
2k – 1
d
2k

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detailed solution

Correct option is B

Each element of the set A can be given the image in the set A in k ways.∴ the required number of functions, i.e.,n(S)=k×k×…(k times )=kk.


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