given there are 20 students and10 likes oranges while 15 like bananas and 3 like both fruits.
1.construct the venn diagram
2.how many students like oranges only
1. Here is the Venn diagram representing the given information:
```
Oranges
/ \
/ \
Both / \ Bananas
/ \
/ \
10 ----- 3 ------- 15
students students
```
2. To find out how many students like oranges only, we need to subtract the number of students who like both fruits from the total number of students who like oranges.
Total number of students who like oranges = 10
Number of students who like both fruits = 3
Number of students who like oranges only = Total number of students who like oranges - Number of students who like both fruits
= 10 - 3
= 7
Therefore, 7 students like oranges only.