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Permutation and combination, counting numbers, graph theory in discrete math

A visually engaging illustration of discrete mathematics concepts, featuring permutations, combinations, and graph theory elements, including graphs, sets, and mathematical symbols in a colorful and educational design.

Mastering Discrete Mathematics: Permutations and Graphs

Welcome to the ultimate quiz on discrete mathematics, focusing on permutations, combinations, and graph theory! Test your knowledge and understanding of these essential concepts through a series of challenging questions.

Whether you are studying for exams, brushing up on your skills, or simply curious, this quiz is designed for you. Highlights include:

  • 30 thoughtfully crafted questions
  • Multiple choice and checkbox formats
  • Scoring system to track your progress
30 Questions8 MinutesCreated by CalculatingStar521
2. In how many ways can a committee of 3 people be selected from a group of 10?
15
45
90
120
How many edges does a complete graph with 7 vertices have?
14
21
28
35
Which of the following is an example of a bipartite graph?
Complete graph
Cycle graph
Star graph
Wheel graph
What is the value of 8P3?
336
504
672
1008
How many subsets does a set with 4 elements have?
2
4
8
16
What is the chromatic number of a tree graph?
1
2
N
N+1
How many ways can you arrange the letters in the word "MISSISSIPPI"?
34650
45360
50400
60480
Which of the following is an example of a directed graph?
Complete graph
Cycle graph
Star graph
Digraph
What is the value of 5C2?
6
8
10
12
11. How many Hamiltonian cycles does a complete graph with 6 vertices have?
6
12
24
720
Which of the following is an example of an Eulerian graph?
Complete graph
Cycle graph
Star graph
Wheel graph
How many ways can you arrange the letters in the word "BANANA"?
30
60
90
120
What is the chromatic index of a complete graph with 5 vertices?
4
5
6
7
15. How many ways can you arrange the letters in the word "MATHEMATICS"?
3628800
7257600
10886400
14515200
Which of the following is an example of a planar graph?
Complete graph
Cycle graph
Star graph
Wheel graph
What is the value of 10P5?
30240
362880
725760
1814400
18. How many edges does a complete bipartite graph with m and n vertices have?
Mn
M+n
M(n-1)
N(m-1)
What is the chromatic number of a cycle graph with 8 vertices?
4
5
6
7
In this case, the cycle graph has 8 vertices, which is even, so its chromatic number is 2. 20. How many ways can you arrange the letters in the word "SUCCESS"?
5040
10080
15120
20160
What is the chromatic index of a wheel graph with n vertices?
N-1
N
N+1
2n
How many ways can you arrange the letters in the word "DISCRETE"?
40320
80640
120960
161280
Which of the following is an example of a connected graph?
Complete graph
Cycle graph
Star graph
Wheel graph
What is the value of 7C4?
14
21
35
42
25. How many ways can you arrange the letters in the word "COMPUTER"?
5040
10080
15120
20160
What is the chromatic number of a complete bipartite graph with m and n vertices?
M+n
Max(m,n)
Min(m,n)
2
27. How many edges does a cycle graph with n vertices have?
N-1
N
N+1
2n
Which of the following is an example of a disconnected graph?
Complete graph
Cycle graph
Star graph
Wheel graph
Disconnected graph
What is the value of 12P6?
665280
725760
798336
870912
How many ways can you arrange the letters in the word "DISCRETE"?
40320
80640
120960
161280
What is the chromatic index of a complete bipartite graph with m and n vertices?
Mn
M+n
M(n-1)
N(m-1)
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