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Welcome to the Relations MCQs Page

Dive deep into the fascinating world of Relations with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Relations, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Relations, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Relations. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Relations. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Relations MCQs | Page 1 of 5

Q1.
How many binary relations are there on a set S with 9 distinct elements?
Discuss
Answer: (c).2⁸¹
Q2.
_________ number of reflexive relations are there on a set of 11 distinct elements.
Discuss
Answer: (a).2¹¹⁰
Q3.
The number of reflexive as well as symmetric relations on a set with 14 distinct elements is __________
Discuss
Answer: (d).2⁹¹
Q4.
The number of symmetric relations on a set with 15 distinct elements is ______
Discuss
Answer: (a).2¹⁹⁶
Q5.
Suppose S is a finite set with 7 elements. How many elements are there in the largest equivalence relation on S?
Discuss
Answer: (c).49
Q6.
________ is the rank of the largest equivalence relation on a set of 20 elements.
Discuss
Answer: (d).1
Q7.
How many elements are there in the smallest equivalence relation on a set with 8 elements?
Discuss
Answer: (b).8
Q8.
The rank of smallest equivalence relation on a set with 12 distinct elements is _______
Discuss
Answer: (a).12
Q9.
If a set A has 8 elements and a set B has 10 elements, how many relations are there from A to B?
Discuss
Answer: (d).2⁸⁰
Discuss
Answer: (b).dyadic relation
Page 1 of 5

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