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Which of the following is well-defined collection?

a. A collection greater natural numbers.
b. A collection of favorite English alphabet.
c. A collection of whole numbers less than 20.
d. A collection of long rivers of Nepal.​

1 Answer

6 votes

Final answer:

The well-defined collection among the given options is 'a collection of whole numbers less than 20,' as it clearly specifies the elements of the set without ambiguity.

Step-by-step explanation:

The question asks which of the following options is a well-defined collection. A well-defined collection is a set where it is possible to determine whether an element belongs to it or not, without any ambiguity.

  • a. A collection of greater natural numbers: This option is not well-defined because there is no upper limit to natural numbers, and 'greater' is not specific enough.
  • b. A collection of favorite English alphabet: This option is not well-defined as 'favorite' is subjective and can vary from person to person.
  • c. A collection of whole numbers less than 20: This option is well-defined because it specifies a clear set with whole numbers ranging from 0 to 19.
  • d. A collection of long rivers of Nepal: This option may not be well-defined without specifying what is considered 'long' for a river.

Therefore, the well-defined collection among the given options is c. A collection of whole numbers less than 20.

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