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?
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?
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.