In an examination, 40% students pass in Math, 45% pass in Science and 55% pass in English. 10% pass in Math and Science, 20% in Science and English and 15 % in English and Math. Find the percentage of students who passed in all the 3 subjects

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To find the percentage of students who passed in all three subjects, we need to use the concept of set theory and intersection.

Let's assume there are 100 students in total.

According to the given information:
- 40% pass in Math, which means 40 students pass in Math.
- 45% pass in Science, which means 45 students pass in Science.
- 55% pass in English, which means 55 students pass in English.

Now, we are given the percentages of students passing in multiple subjects:
- 10% pass in Math and Science, which means the intersection of the Math and Science sets is 10 students.
- 20% pass in Science and English, which means the intersection of the Science and English sets is 20 students.
- 15% pass in English and Math, which means the intersection of the English and Math sets is 15 students.

To find the percentage of students who passed in all three subjects (Math, Science, and English), we need to find the intersection of all three sets.

Let's calculate:
- The intersection of Math and Science is 10 students.
- The intersection of Science and English is 20 students.
- The intersection of English and Math is 15 students.

To find the intersection of all three sets, we can take the minimum value among these three intersections, as that will give us the maximum number of students who passed in all three subjects.

So, the percentage of students who passed in all three subjects is 10% of 15% of 20%, which is 1.5%.

Therefore, the percentage of students who passed in all three subjects is 1.5%.