25 students were asked about their holiday activities,16 students read their books and 11 played football how many persons did both
16 + 11 = 27
27 - 25 = 2
16 + 11 = 27
27 - 25 = 2
To find out how many students did both activities (reading books and playing football), we need to find the intersection of the two sets.
Let's denote the set of students who read their books as A and the set of students who played football as B.
The number of students who read their books is 16, and the number of students who played football is 11.
To find the intersection, we subtract the number of students who did only one activity from the total number of students who participated in both activities.
Total number of students = 25
Therefore, the number of students who did both activities is:
16 + 11 - 25 = 27 - 25 = 2
So, 2 students did both activities.
To find out how many students read books and played football, we need to find the intersection of the two sets.
Since 16 students read their books and 11 played football, we can represent these sets as follows:
Number of students who read books (B) = 16
Number of students who played football (F) = 11
To find the number of students who did both activities (B ∩ F), we need to find the common elements in both sets.
B ∩ F = ?
To determine the intersection, we subtract the number of students who read books (B) and played football (F) from the total number of students asked (25):
Total number of students asked (T) = 25
B ∩ F = T - (B + F)
B ∩ F = 25 - (16 + 11)
B ∩ F = 25 - 27
B ∩ F = -2
Since we cannot have a negative number of students, it appears that there is an error in the given data. The intersection should not be negative. Please double-check the information provided.