Let's solve this using a Venn diagram.
First, let's fill in the number of students who like each sport: Tennis = 23, Football = 30, Baseball = unknown.
Next, let's fill in the overlapping regions: Tennis & Football = 7, Tennis & Baseball = 19, Football & Baseball = 22, All three = 4.
Lastly, let's fill in the students who like none of the sports = 7.
Now, let's find the number of students who like only each combination.
Number of students who like only Tennis and Football = Tennis & Football - All three = 7 - 4 = 3.
Number of students who like only Tennis and Baseball = Tennis & Baseball - All three = 19 - 4 = 15.
Number of students who like only Baseball and Football = Football & Baseball - All three = 22 - 4 = 18.
In a survey of students about favorite sports, the results include 23 who like tennis,30 who like football, 7 who like tennis and football,19 who like tennis and baseball, 22 who like football and baseball, 4 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?
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