Exclusive and Inclusive Or Exclusive: only one of the two Inclusive: Both or one of the two An ice cream or Gulab jamun is available with a Thali in a restaurant. A student who has taken Physics or Maths can apply for Scholarship.
Quantifiers Quantifiers are phrases like,“ There exists” and“ For all”. There exists a girl who is beautiful For every prime number p, √p is an irrational number.
Implications:“ if-then”,“ only if” If then: Sufficient condition If food is Sandwich, then Rohit will eat food If food is Burger, then Rohit will eat food If food is Pizza, then Rohit will eat food Only if: Necessary condition Only if Rohit ate food, food is Sandwich. Only if Rohit ate food, food is Burger. Only if Rohit ate food, food is Pizza.
Sufficient is inverse of necessity. If( p à q), then p is sufficient condition for q and q is necessary condition for p.
Implications:“ if and only if” If and only if is bidirectional: