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out of 130 students who appeared for an examination , 52 students failed in English, 72 students failed in Mathematics and 34 students failed in English and Mathematics, then what is the total number of students who passed

Sagot :

Heather

Answer: 40 students

Step-by-step explanation:

     We can use the inclusion-exclusion principle and formula to find the number of total students who passed. This formula says P(A ∪ B) = |P(A)| + |P(B)| – |P(A ∩ B)|. In this case, let A = E = English and B = M = Mathematics.

           P(E ∪ M) = |P(E)| + |P(M)| – |P(E ∩ M)|

           P(E ∪ M) = |52| + |72| – |34|

           P(E ∪ M) = 90 students

     This gives the number of students who failed. Now, using subtraction, we can find the number of students who passed both English and mathematics.

           130 total students - 90 students that failed = 40 students

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