In a survey of students about favorite sports, the results include 19 who like tennis, 30 who like football, 6 who like tennis and football, 14 who like tennis and baseball, 23 who like football and baseball, 4 who like all three sports, and 6 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?
2 (Type a whole number.)
How many students like only tennis and baseball? _ (Type a whole number.)
3 (Type a whole number.)
To find the number of students who like only tennis and baseball, we need to subtract the number of students who like both tennis and baseball, as well as the students who like all three sports, from the total number of students who like tennis.
Total number of students who like tennis: 19
Number of students who like tennis and baseball: 14
Number of students who like all three sports: 4
Number of students who like only tennis and baseball = Total number of students who like tennis - Number of students who like tennis and baseball - Number of students who like all three sports
Number of students who like only tennis and baseball = 19 - 14 - 4
Number of students who like only tennis and baseball = 1
To find out how many students like only tennis and football, we need to subtract the number of students who like both tennis and football from the total number of students who like tennis.
Given that there are 19 students who like tennis and 6 who like both tennis and football, we can calculate the number of students who like only tennis and football as follows:
Number of students liking only tennis and football = Total number of students liking tennis - Number of students liking both tennis and football
= 19 - 6
= 13
Therefore, 13 students like only tennis and football.
To find out how many students like only tennis and baseball, we would apply the same logic.
Given that there are 19 students who like tennis and 14 who like both tennis and baseball, we can calculate the number of students who like only tennis and baseball as follows:
Number of students liking only tennis and baseball = Total number of students liking tennis - Number of students liking both tennis and baseball
= 19 - 14
= 5
Therefore, 5 students like only tennis and baseball.
To find out how many students like only baseball and football, we would again apply the same logic.
Given that there are 30 students who like football and 23 who like both football and baseball, we can calculate the number of students who like only baseball and football as follows:
Number of students liking only baseball and football = Total number of students liking football - Number of students liking both football and baseball
= 30 - 23
= 7
Therefore, 7 students like only baseball and football.
Please note, it seems like you are asking about the number of students who like only tennis and football twice. The answer for students who like only tennis and football is already provided as 13.