Mathematics
Statement I: {2, 3, 4} and {4, 3, 2} are the same sets.
Statement II: In a set, the order of writing the elements does not matter.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Answer
Statement I: {2, 3, 4} and {4, 3, 2} contain exactly the same elements 2, 3 and 4. So, they are the same sets. Hence, Statement I is true.
Statement II: The order of listing the elements of a set can be changed without affecting the set. So, Statement II is true and it correctly explains Statement I.
Hence, option 3 is the correct option.
Related Questions
If A = {x : x ∈ N and x is an odd prime number less than 17}, then the cardinal number of A is
8
6
5
none of these
{months of a year whose names begin with the letter F} is
an infinite set
empty set
singleton set
none of these
Statement I: An empty set, a singleton set and a set of prime numbers are all finite sets.
Statement II: The cardinal number of a set is always non-negative.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Statement I: An empty set is always a finite set but a finite set may or may not be empty.
Statement II: The cardinal number of a set of the English alphabet is less than 30.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.