adplus-dvertising

Welcome to the Counting Theory MCQs Page

Dive deep into the fascinating world of Counting Theory with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Counting Theory, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Counting Theory, 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.

frame-decoration

Check out the MCQs below to embark on an enriching journey through Counting Theory. 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 Counting Theory. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Counting Theory MCQs | Page 7 of 12

Explore more Topics under Discrete Mathematics

Q61.
For a gaming competition, 8 girls are planning on splitting up into 3 (non-empty) groups. How many ways can they split up into these groups?

a.

465

b.

1056

c.

966

d.

3215

Discuss
Answer: (c).966
Q62.
In a picnic with 20 persons where 6 chocolates will be given to the top 8 children(the chocolates are distinct: first, second). How many ways can this be done?

a.

¹βΈC₆

b.

²β°P₆

c.

²β΅Cβ‚„ * 6!

d.

¹βΉP5

Discuss
Answer: (b).²β°P₆
Q63.
How many ways can one choose 20 cookies from 45 different types (assuming there are at least 20 of each type)?

a.

⁢⁴C₂₁ * 15

b.

⁢⁴Cβ‚‚β‚€

c.

⁴⁴Cβ‚‚β‚€ * 2!

d.

⁢⁡Cβ‚‚β‚‚

Discuss
Answer: (b).⁢⁴Cβ‚‚β‚€
Q64.
Assume that it is an afternoon. What is the time on the 24 hour clock after 146 hours?

a.

12:10 pm

b.

8:30 am

c.

3 am

d.

2 pm

Discuss
Answer: (d).2 pm
Q65.
There are 28 identical oranges that are to be distributed among 8 distinct girls. How many ways are there to distribute the oranges?

a.

²²P₇

b.

³β΄C₆

c.

³β΅C₇

d.

²βΈCβ‚ˆ

Discuss
Answer: (c).³β΅C₇
Q66.
There are 5 distinct fruits. How many ways can they be planted into identical fruit plants?

a.

87

b.

52

c.

76

d.

128

Discuss
Answer: (b).52
Q67.
A woman has 14 identical pens to distribute among a group of 10 distinct students. How many ways are there to distribute the 14 pens such that each student gets at least one pencil?

a.

¹β΅C₁₀

b.

¹β°Cβ‚… * 11

c.

¹β΅Cβ‚ˆ * 4!

d.

¹³C₉

Discuss
Answer: (d).¹³C₉
Q68.
Suppose that M is the product of k distinct primes. Find the number of ways to write N as the product of positive integers(>1), where the order of terms does not matter.

a.

α΄ΉCβ‚™β‚‹β‚–

b.

α΄ΊCβ‚˜

c.

N * Bβ‚–

d.

Bα΄‹

Discuss
Answer: (d).Bα΄‹
Q69.
How many ways are there to place 7 differently colored toys into 5 identical urns if the urns can be empty? Note that all balls have to be used.

a.

320

b.

438

c.

1287

d.

855

Discuss
Answer: (d).855
Q70.
Suppose, there are 7 of your friends who want to eat pizza (8 distinct people in total). You order a 16-cut pizza (16 identical slices). How many distributions of pizza slices are there if each person gets at least one slice of pizza?

a.

346

b.

6435

c.

3214

d.

765

Discuss
Answer: (b).6435
Page 7 of 12

Suggested Topics

Are you eager to expand your knowledge beyond Discrete Mathematics? We've curated a selection of related categories that you might find intriguing.

Click on the categories below to discover a wealth of MCQs and enrich your understanding of Computer Science. Happy exploring!

Object Oriented Programming Using C++

Enhance your programming skills with our MCQs on Object Oriented Programming using...

Operating System

Dive deep into the core of computers with our Operating System MCQs. Learn about...

MATLAB

Hone your computational mathematics skills with our MATLAB MCQs. Understand...

C# programming

Hone your skills in the C# language with our MCQs. Understand data types, operators,...

Computer Graphics

Step into the visual side of computing with our Computer Graphics MCQs. Cover topics...

Compiler Design

Unravel the process of translating source code into executable programs with our...

Cloud Computing

Stay on top of the biggest trend in IT with our Cloud Computing MCQs. These questions...

R Programming

Unleash the power of statistical computing with our R Programming MCQs. Topics cover...

Discrete Mathematics

Refine your mathematical skills essential for computer science with our Discrete...