A mathematician tells her son, "I will give you $100 only if you pass the class." Being a mathematician, she means exactly what she said. Check all true statements about this situation. a. If she ended up paying him $100, he must have passed the class. b. Her statement defined passing the class as a necessary condition for receiving the $100. c. if he passes the class, she will pay him $100. d. Her statement defined passing the class as a sufficient condition for receiving the 100 e. He will not get the s 100 unless he passes the class. f. If she didn't pay him $100, that means he didnt pass the class. . g. If he doesn't pass the class, she will definitely not pay him $100. h. If he passes the class, she may pay him $100.