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Question

Let A={1,2,3,4,5} and f:AA be an into function such that f(i)i,iA, then number of such functions f are

A
1024
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B
904
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C
980
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D
None of these
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Solution

The correct option is B 1024
Since f is a into function so one element in image have more than one pre omage in set A, so, for f(i)iiA,

Total number of such functions =4×4×4×4×4=1024


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