5. Let sets A, B, and C be the following, . . A = {1,2,3,5} B...

     

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5. Let sets A, B, and C be the following, . . A = {1,2,3,5} B (1,2,3,4,5,6,7,8,9,10) C = {2,3,5,7,11} Answer the following statements, How many function from A to A are reflexive? How many functions from B to B are injective but not surjective (Hint: consider pigeon hole principle)? How many functions from B to B would be a symmetric relation (opposed to a symmetric function)? 5. Let sets A, B, and C be the following, . . A = {1,2,3,5} B (1,2,3,4,5,6,7,8,9,10) C = {2,3,5,7,11} Answer the following statements, How many function from A to A are reflexive? How many functions from B to B are injective but not surjective (Hint: consider pigeon hole principle)? How many functions from B to B would be a symmetric relation (opposed to a symmetric function)?