contestada

402 students were surveyed about their preferences of sports. 140 students like football, 144 students like baseball, and 42 students like both sports. how many students like exactly one of the two sports? a) 200 b) 140 c) 284 d) 98 e) 102 f) none of the above.

Respuesta :

The students that will like exactly one of the two sports out of football and baseball is 200.

What is set theory?

These are the fundamental set of set theory formulas. When there are two sets P and Q, the number of elements in one of the sets P or Q is denoted by n(P U Q). The number of elements in both sets P and Q is represented by the expression n(P ⋂Q). n(P U Q) is equal to n(P) + n(Q) - n (P Q).

Here,

F=140

B=144

F∩B=42

F-B=n(F)-n(F∩B)

=140-42

F-B=98

B-F=n(B)-n(F∩B)

=144-42

=102

So, the students that will like exactly one of the two sports,

=102+98

=200

There are 200 students who will only enjoy one of the two sports—football or baseball.

To know more about set,

https://brainly.com/question/28429487?referrer=searchResults

#SPJ4

Otras preguntas