A class has 100 students. The percentages of students who passed in Science, Math, and Nepali are 40%, 45%, and 50% respectively. Find the percentage of students who passed in all three subjects if 10

Here's the solution to the problem:

Let S be the set of students who passed in Science.
Let M be the set of students who passed in Math.
Let N be the set of students who passed in Nepali.

Given percentages:

• $P(S) = 40\%$
• $P(M) = 45\%$
• $P(N) = 50\%$
• $P(S \cap M) = 10\%$
• $P(M \cap N) = 20\%$
• $P(S \cap N) = 15\%$
• $P(failed in all three subjects) = P(S' \cap M' \