How many elements are in O₁ = {x : x is a distinct letter occurring in the word mathematics}?
Advertisement
Answer and explanation
Correct answer: 8
The word mathematics has the letters m, a, t, h, e, m, a, t, i, c, and s. In a set, repeated elements are counted only once. Thus the distinct-letter set is {m, a, t, h, e, i, c, s}, which contains 8 elements. Therefore option A is correct. The repeated letters m, a, and t do not increase the cardinality of the set.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The word mathematics has the letters m, a, t, h, e, m, a, t, i, c, and s. In a set, repeated elements are counted only once. Thus the distinct-letter set is {m, a, t, h, e, i, c, s}, which contains 8 elements. Therefore option A is correct. The repeated letters m, a, and t do not increase the cardinality of the set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
Advertisement