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In a group of 26 students, 21 like football and 14 like cricket. What is the number of students who like both football and cricket?
  1. 9
  2. 10
  3. 12
  4. None of these
Explanation

Total students = 26

Students who like football = 21

Students who like cricket = 14

Let x be the number of students who like both football and cricket.

Using the formula:

(Football ∪ Cricket) = Football + Cricket – Both

So,

26 = 21 + 14 – x

26 = 35 – x

x = 35 – 26

x = 9

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