Let x y z be sets of sizes x y and z respectively let

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9. Let X, Y, Z be sets of sizes x, y and z respectively. Let W X Y and E be the set of all subsets of W. The number of functions from Z to E is: 10. Let {1,2,3, .... }, 3. S m m Let 1 2 , , ......... , n X X X be subsets of S each of size 3. Define a function f from S to the set of natural numbers as, ( ) f i is the number of sets j X that contain the element i . That is ( ) |{ | } j f i j i X , Then 1 ( ) is m i f i A). 3 m B). 3 n C). 2 1 m D). 2 1 n
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