To find the number of students who like only tennis and football, we need to subtract the students who like tennis, football, and baseball from the students who like both tennis and football.
First, we can find the number of students who like both tennis and football by subtracting the total number of students who like only tennis or only football from the total number of students who like both or all three sports.
Total students who like both or all three sports = 7 (like tennis and football) + 3 (like all three sports) = 10
Total students who like only tennis or only football = Total students who like tennis + Total students who like football - Total students who like both or all three sports
= 20 (like tennis) + 24 (like football) - 10 (like both or all three sports)
= 34 - 10
= 24
Therefore, the number of students who like only tennis and football is 24.
In a survey of students about favorite sports, the results include 20 who like tennis, 24 who like football, 7 who like tennis and football, 14 who like tennis and baseball, 17 who like football and baseball, 3 who like all three sports, and 7 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
How many students like only tennis and football?
_ (Type a whole number.)
1 answer