If R=∅, what is n(R)?
Answer and explanation
Correct answer: 0
The governing concept is cardinality. The notation n(R) means the number of distinct elements in set R. Since R is the empty set, it contains no elements at all, so n(R)=0. The symbol ∅ identifies the set but is not a numerical answer. A value of 1 would describe a singleton set such as {0}, while 2 would describe a set with two distinct members.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The governing concept is cardinality. The notation n(R) means the number of distinct elements in set R. Since R is the empty set, it contains no elements at all, so n(R)=0. The symbol ∅ identifies the set but is not a numerical answer. A value of 1 would describe a singleton set such as {0}, while 2 would describe a set with two distinct members.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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