Question
Thnaks
A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors, 2 computer science majors who are juniors, and 1 computer science major who is a senior. Express each of these statements in terms of quantifiers and then determine its truth value. There is a student in the class who is a junior. Every student in the class is a computer science major. There is a student in the class who is neither mathematics major nor a junior. Every student in the class is either a sophomore or a computer science major. There is a major such that there is a student in the class in every year of study with that major.
Explanation / Answer
Ans. a
TRUE
Ans. b
FALSE
Ans. c
TRUE
Ans. d
FALSE
Ans. e
FALSE
Other Sophomeres could be made
All senior in class are Computer science major. TRUE
All freshmen in class are Mathematics major. TRUE
All Mathematics major come from all groups(junior, sophomore,freshmen,senior). FALSE
All Computer science major come from all groups . FALSE
No freshmen are computer science major. TRUE
No senior are Mathematics major. TRUE