In a group of 200 people, 90 like tennis, while 108 like cricket and 46 people like both tennis and cricket. How many people like neither tennis nor cricket?
- 44
- 48
- 62
- None of these
Explanation
Let's break down the given information:
- Total people: 200
- People who like tennis: 90
- People who like cricket: 108
- People who like both: 46
To find the people who like neither, we can use the following formula:
Total people = People who like tennis only + People who like cricket only + People who like both + People who like neither
Let's find the people who like only tennis and only cricket:
- People who like only tennis = Total tennis players - People who like both = 90 - 46 = 44
- People who like only cricket = Total cricket players - People who like both = 108 - 46 = 62
Now, we can plug these values into the formula: 200 = 44 + 62 + 46 + People who like neither
People who like neither = 200 - 44 - 62 - 46 = 48
Therefore, 48 people like neither tennis nor cricket.
So, the answer is 48.
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