(A) set is called finite if it contains a countable number of elements.The set of months of a year consists of $12$ elements: $\{ \text{January, Febru

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(A) set is called finite if it contains a countable number of elements.The set of months of a year consists of $12$ elements: $\{ \text{January, February, March, April, May, June, July, August, September, October, November, December} \}$.Since the number of elements is fixed and countable $(12)$,the set is a finite set.

Class 11 Mathematics Set Theory Basic of Set theory

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Which of the following sets is finite or infinite?
The set of months of a year.

A
Finite set
B
Infinite set
C
Empty set
D
None of these

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Set Theory

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Basic of Set theory

Which of the following are sets? Justify your answer.
$A$ collection of the most dangerous animals of the world.

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Prove that for any sets $A$ and $B$,$A \cap (A \cup B) = A$.

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If $Q = \{x : x = \frac{1}{y}, \text{ where } y \in N\}$,then which of the following is true?

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If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is equal to $kN$,where $k$ is:

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Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$8 \dots A$

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Which of the following sets is finite or infinite?The set of months of a year.

Similar Questions

Which of the following are sets? Justify your answer.$A$ collection of the most dangerous animals of the world.

Prove that for any sets $A$ and $B$,$A \cap (A \cup B) = A$.

If $Q = \{x : x = \frac{1}{y}, \text{ where } y \in N\}$,then which of the following is true?

If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is equal to $kN$,where $k$ is:

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Which of the following sets is finite or infinite?
The set of months of a year.

Which of the following are sets? Justify your answer.
$A$ collection of the most dangerous animals of the world.

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$8 \dots A$