In a class of 100 ,84% of the students have taken politics &16% of student have taken history.how many students have taken both subject of all the students take at least one of these subjects?
From your data, it looks like 84 took politics and 16 took history. There is no information to indicate how many took both.
If all students take at least one of the subjects, then no one took both, because 84+16=100.
To find out how many students have taken both politics and history, we need to calculate the intersection between the two sets.
First, let's calculate the number of students who have taken politics. Since 84% of the students have taken politics, we can find this by multiplying the total number of students by 0.84:
Number of students in politics = 100 * 0.84 = 84
Next, let's calculate the number of students who have taken history. Since 16% of the students have taken history, we can find this by multiplying the total number of students by 0.16:
Number of students in history = 100 * 0.16 = 16
Now, to find the number of students who have taken both politics and history, we need to calculate the intersection of these two sets. In this case, since we don't have any specific information about the overlap between the two subjects, we assume that there is no overlap.
Therefore, the number of students who have taken both subjects is 0.
However, if there was significant overlap or information provided about students studying both subjects, we would need that information to find the exact number of students who have taken both politics and history.