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In a class of students, have chosen only Biology and have chosen Mathematics, but not Biology. Given that every student has chosen either Mathematics, or Biology, or both. Find the number of students who chose both Mathematics and Biology.

  1. A
    40
  2. B
    20
  3. C
    15
  4. D
    5

Solution & Step-by-step Explanation

Let's denote the sets:
*
*

Since every individual maps inside the union collection, we compute:





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Try it yourself before checking the explanation above.

In a class of students, have chosen only Biology and have chosen Mathematics, but not Biology. Given that every student has chosen either Mathematics, or Biology, or both. Find the number of students who chose both Mathematics and Biology.
A
40
B
20
C
15
D
5

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