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Question

What is the cardinal number of following sets?

The set of weeks having 8days.


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Solution

The number of distinct elements in a finite set is called the cardinal number of the set. It is denoted by nA

Given set:

The set of weeks having 8days.

We know that number of days in a week is exactly 7.

There is no any week which have 8 days.

Therefore, The given set is a null or empty set and number of element is null or empty set is zero.

Hence, the cardinal number of the set of weeks having 8days is nA=0.


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