Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

What is the number of elements in the set {∅}?

Advertisement

Answer and explanation

Correct answer: 1

The notation {∅} means a set whose single element is the empty set itself. Therefore its cardinality is 1. This differs from ∅, which has no elements and cardinality 0. Braces are significant: ∅ denotes nothing inside the set, whereas {∅} contains one object, namely the empty set. Thus n({∅}) = 1.

Tags

setssingleton-setempty-setcardinalityThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

The notation {∅} means a set whose single element is the empty set itself. Therefore its cardinality is 1. This differs from ∅, which has no elements and cardinality 0. Braces are significant: ∅ denotes nothing inside the set, whereas {∅} contains one object, namely the empty set. Thus n({∅}) = 1.

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.

Report question
Advertisement