Cardinal Property of a Set
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Q1
Define cardinal number of a set.
Marks:1Answer:
The number of distinct elements in a set is called its cardinal number. The cardinal number of a set A is represented by n(A).

Q2
If A = {x: x is a square of natural number, X < 50}. Find n(A).
Marks:1Answer:
We have,
A ={x: x is a square of natural number, x< 50}.
In roster form, set A will be written as:
A = {1, 4, 9, 16, 25, 36, 49}
Hence, n(A) = number of distinct elements in set A.
= 7 
Q3Marks:1
Answer:

Q4Marks:1
Answer:
Given B = {2, 3, 4, 5, 6, 2, 5, 4, 3, 7}.
We know that all the elements in a set are distinct.
So, we omit repeated elements.
Thus, set B can be written as
B = {2, 3, 4, 5, 6, 7}.
Now, n(B) = number of elements in B
= 6 
Q5
Find the cardinal number of the set of all planets of our solar system.
Marks:1Answer:
The set of all planets of our solar system is given by,
P = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
The number of distinct elements in the set gives the cardinal number or n(P).
Hence, n(P) = 8.