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First, let's identify the values for each region in the Venn diagram based on the labels and the given information:

Mathematics

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Here's a step-by-step solution to the Venn diagram problem.

First, let's identify the values for each region in the Venn diagram based on the labels and the given information:

  • Number of pupils who like only Physics (P only): 10
  • Number of pupils who like only Mathematics (M only): 20
  • Number of pupils who like only Kinyarwanda (K only): 60
  • Number of pupils who like Physics and Kinyarwanda but not Mathematics (P∩K onlyP \cap K \text{ only}): xx
  • Number of pupils who like Mathematics and Kinyarwanda but not Physics (M∩K onlyM \cap K \text{ only}): $x
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