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Question 3: Illustrate the information in a Venn diagram. Given total candidates = 44, |M| = x, |E| = 3x, and |M ext and E| = rac13|M|. Find the number of candidates who took Maths and English.

Mathematics

ScanSolve AI Answer

a) To illustrate the information in a Venn diagram, we first need to find the values.

Step 1: Define variables and set up the equation.
Let MM be the set of candidates who took Maths and EE be the set of candidates who took English.
Given:
Total candidates =44= 44
Number of candidates who took Maths, ∣M∣=x|M| = x
Number of candidates who took English, ∣E∣=3x|E| = 3x
Number of candidates who took both, ∣M∩E∣=13∣M∣=13x|M \cap E| = \frac{1}{3}|M| = \frac{1}{3}x

The formula for the union of two sets is $|M \cup E| =

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