Let A be the set of distinct letters occurring in the English word “Mathematics”, and let B = {m, a, t, h, e, i, c, s}. Which statement is correct?
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Answer and explanation
Correct answer: A = B after ignoring repetitions
The word “Mathematics” contains the letters m, a, t, h, e, m, a, t, i, c, s. In a set, repeated occurrences are written only once, so the distinct-letter set is {m, a, t, h, e, i, c, s}. Set order is irrelevant, and therefore this set is exactly B. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B after ignoring repetitions
Why is this the correct answer?
The word “Mathematics” contains the letters m, a, t, h, e, m, a, t, i, c, s. In a set, repeated occurrences are written only once, so the distinct-letter set is {m, a, t, h, e, i, c, s}. Set order is irrelevant, and therefore this set is exactly B. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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