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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.

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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 2 of 12

Explore more Topics under Discrete Mathematics

Q11.
A head boy, two deputy head boys, a head girl and 3 deputy head girls must be chosen out of a student council consisting of 14 girls and 16 boys. In how many ways can they are chosen?

a.

98072

b.

27384

c.

36428

d.

44389

Discuss
Answer: (b).27384
Q12.
A drawer contains 12 red and 12 blue socks, all unmatched. A person takes socks out at random in the dark. How many socks must he take out to be sure that he has at least two blue socks?

a.

18

b.

35

c.

28

d.

14

Discuss
Answer: (d).14
Q13.
The least number of computers required to connect 10 computers to 5 routers to guarantee 5 computers can directly access 5 routers is ______

a.

74

b.

104

c.

30

d.

67

Discuss
Answer: (c).30
Q14.
In a group of 267 people how many friends are there who have an identical number of friends in that group?

a.

266

b.

2

c.

138

d.

202

Discuss
Answer: (b).2
Q15.
When four coins are tossed simultaneously, in _______ number of the outcomes at most two of the coins will turn up as heads.

a.

17

b.

28

c.

11

d.

43

Discuss
Answer: (c).11
Q16.
How many numbers must be selected from the set {1, 2, 3, 4} to guarantee that at least one pair of these numbers add up to 7?

a.

14

b.

5

c.

9

d.

24

Discuss
Answer: (b).5
Q17.
During a month with 30 days, a cricket team plays at least one game a day, but no more than 45 games. There must be a period of some number of consecutive days during which the team must play exactly ______ number of games.

a.

17

b.

46

c.

124

d.

24

Discuss
Answer: (d).24
Q18.
In how many ways can 8 different dolls be packed in 5 identical gift boxes such that no box is empty if any of the boxes hold all of the toys?

a.

2351

b.

365

c.

2740

d.

1260

Discuss
Answer: (d).1260
Q19.
A group of 20 girls plucked a total of 200 oranges. How many oranges can be plucked one of them?

a.

24

b.

10

c.

32

d.

7

Discuss
Answer: (a).24
Q20.
In a get-together party, every person present shakes the hand of every other person. If there were 90 handshakes in all, how many persons were present at the party?

a.

15

b.

14

c.

16

d.

17

Discuss
Answer: (b).14
Page 2 of 12

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