In a word problem 80 offered maths,60 offered English,50 offered physics, 20 offered both maths and English, 15 offered both English and physics, 10 offered the three. How many students sat for the examination given that none did both physics and maths?

Contradiction:

you said 10 took all three, then you said none did both physics and maths.

Did you know?

Did you know that you can use a strategy called the Principle of Inclusion-Exclusion to solve a complex word problem? In the given scenario, where 80 students offered maths, 60 offered English, and 50 offered physics, with 20 offering both maths and English, 15 offering both English and physics, and 10 offering all three subjects, you might wonder how many students actually sat for the examination. Surprisingly, by subtracting the number of students who offered all three subjects from the combined number of students who offered maths, English, and physics individually, you can find that 235 students sat for the examination. This fascinating approach can help you solve intricate problems by considering overlapping sets and finding the correct answer.