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Question

State which of the following sets are finite and which are infinite.

The set of grains of sand in a small jar.


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Solution

A set that contains countable number of different members is called a finite set and a set which contains unlimited or uncountable number of different members is called an infinite set.

Given set:

The set of grains of sand in a small jar.

The number of grains of sand in a small jar can be counted easily.

Therefore, The set of number of grains of sand in a small jar are countable number.

Hence, the set of grains of sand in a small jar is finite set.


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