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Which of the following collections is a ...

Which of the following collections is a set

A

Collection of all tasty fruits

B

Collection of all good football players of your school

C

Collection of all months of a year

D

Collection of 5 most intelligent students of your class.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following collections is a set, we need to understand the definition of a set. A set is an organized collection of well-defined objects or elements. Let's analyze each option step by step. ### Step-by-Step Solution: 1. **Option 1: Collection of all tasty fruits** - This collection is not well-defined because "tasty" is subjective. Different people may have different opinions on what makes a fruit tasty. Therefore, we cannot identify a clear list of fruits that belong to this collection. - **Conclusion:** This is not a set. 2. **Option 2: Collection of all good football players of your school** - Similar to the first option, this collection is also not well-defined. The term "good" is subjective, and there is no clear criterion for determining who qualifies as a good football player. Hence, we cannot identify a specific group of players. - **Conclusion:** This is not a set. 3. **Option 3: Collection of all months of a year** - This collection is well-defined. There are 12 months in a year, and they are universally recognized. The months are: January, February, March, April, May, June, July, August, September, October, November, and December. We can clearly list all the elements in this collection. - **Conclusion:** This is a set. 4. **Option 4: Collection of five most intelligent students of our class** - This collection is also not well-defined. The term "most intelligent" is subjective, and there is no clear way to determine who qualifies as the most intelligent students. Thus, we cannot identify a specific group of students. - **Conclusion:** This is not a set. ### Final Conclusion: Only **Option 3**, the collection of all months of a year, is a set. ---
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