1.
The need to count and analyze for a definite result has always been one of the needs of the human race, application of combinatorics range from?
Correct Answer
D. All of the above
Explanation
Combinatorics is a branch of mathematics that deals with counting, arranging, and analyzing objects. It has applications in various fields, including computer science, statistical physics, and logic. In computer science, combinatorics is used for analyzing algorithms, designing data structures, and solving optimization problems. In statistical physics, combinatorics is used to study the behavior of large systems of particles. In logic, combinatorics is used to analyze the structure of logical expressions and to study the properties of logical systems. Therefore, the correct answer is "All of the above" as combinatorics is applicable in all these fields.
2.
A universal definition of combinatorics have not been agreed upon yet, as the subject cut across so many mathematical subdivisions, a definite definition has not been given, who said this?
Correct Answer
B. H. J. Ryser
3.
Combinatorics is a range of linked studies which have something in common and yet diverge widely in their objectives, this was said by?
Correct Answer
A. Leon Mirsky
Explanation
The statement suggests that combinatorics is a field of study that encompasses various related subjects with different goals. The person who said this is Leon Mirsky.
4.
Combinatorics is majorly known for the vast problems it tackles, its problems arise in many areas of pure mathematics such as?
Correct Answer
D. All of the above
Explanation
Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects. It is applicable in various areas of pure mathematics such as algebra, probability theory, and geometry. In algebra, combinatorics helps in solving problems related to permutations, combinations, and counting principles. In probability theory, it is used to calculate the number of possible outcomes and probabilities. In geometry, combinatorics is used to solve problems related to arrangements, configurations, and patterns. Therefore, the correct answer is "All of the above" as combinatorics is relevant in all these areas of mathematics.
5.
The twentieth century has seen powerful and general theoretical methods developed, making combinatorics into an independent branch of mathematics in its own right, the most accessible part of combinatorics is?
Correct Answer
C. GrapH theory
Explanation
The question asks for the most accessible part of combinatorics. Graph theory is the correct answer because it is a branch of mathematics that studies the properties and applications of graphs, which are mathematical structures used to model pairwise relations between objects. Graph theory is widely applicable in various fields, such as computer science, social networks, transportation networks, and optimization problems. It is considered the most accessible part of combinatorics because it has a visually intuitive nature and its concepts can be easily understood and applied in practical scenarios.
6.
Different professional is referred to based on their field, a person that studies botany is regarded after certification as a botanist, a mathematician that studies combinatorics is referred to as?
Correct Answer
B. Combinatorialist
Explanation
A mathematician who studies combinatorics is referred to as a combinatorialist. Combinatorics is a branch of mathematics that deals with counting, arranging, and combining objects or elements. Therefore, a person specializing in this field would be called a combinatorialist.
7.
Combinatorics application in the field of mathematics crosses several subjects from login, statistical physics, and computer science, combinatorics is used to obtain formulas and estimates in the analysis of?
Correct Answer
A. Algorithm
Explanation
Combinatorics is a branch of mathematics that deals with counting, arranging, and analyzing objects. It is used in various fields, including computer science, to develop algorithms. Algorithms are step-by-step procedures or instructions used to solve a problem or perform a task. Therefore, the correct answer is "Algorithm" as it is directly related to the use of combinatorics in obtaining formulas and estimates in the analysis of various subjects.
8.
During the Renaissance, combinatorics became foundational in the emerging field together with mathematics and sciences, this is as a result of the work by?
Correct Answer
D. All of the above
Explanation
During the Renaissance, combinatorics became foundational in the emerging field together with mathematics and sciences. This was due to the significant contributions made by Blaise Pascal, Isaac Newton, and Bernoulli. Each of these mathematicians and scientists made important advancements in the field of combinatorics, which helped establish it as a fundamental discipline during that time.
9.
Combinatorics enjoyed a rapid growth in a certain century which led to the establishment of dozens of new journals and conferences on the subject, that century is?
Correct Answer
C. 20th
Explanation
Combinatorics experienced significant development and expansion in the 20th century, resulting in the establishment of numerous journals and conferences dedicated to the subject. This suggests that the 20th century was a pivotal time for the growth and recognition of combinatorics as a field of study.
10.
Combinatorics spans across many mathematical subjects and fields which are vast on their own, all these are combinatorics subject field except?
Correct Answer
A. Oncologist theory
Explanation
Combinatorics is a branch of mathematics that deals with counting, arranging, and combining objects. It includes subjects like design theory, graph theory, and partition theory, which all involve various aspects of combinatorial analysis. However, oncologist theory does not relate to combinatorics. Oncology is the branch of medicine that deals with the study and treatment of cancer, making it unrelated to combinatorial mathematics.