Consider the set of all functions 012 2014 012 2014 f

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14. Consider the set of all functions :{0,1,2, ......... ,2014} {0,1,2, .......... ,2014} f such that ( ( )) f f i i , for all 0 2014 i . Consider the following statements: P. For each such function it must be the case that for every , ( ) i f i i . Q. For each such function it must be the case that for some , ( ) i f i i . R. Each such function must be onto. Which one of the following is CORRECT? 15. Total number of onto functions form a set A of 5 elements to a Set B of 4 elements is ________________.
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