What Do You Know About Combinatorial Geometry?

10 Questions | Total Attempts: 13

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What Do You Know About Combinatorial Geometry? - Quiz

In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics, is a correspondence between natural numbers (taken to include 0) N and k-combinations, represented as strictly decreasing sequences ck > . . . > c2 > c1 ≥ 0.


Questions and Answers
  • 1. 
    The originally used term "combinatorial representation of integers" is shortened to "combinatorial number system" by?
    • A. 

      Leibniz

    • B. 

      Knuth

    • C. 

      D.F Lehmer

    • D. 

      James McCaffrey

  • 2. 
    One could use the combinatorial number system to list or traverse all k-combinations of a given ........?
    • A. 

      Assembly code

    • B. 

      Characteristic vector

    • C. 

      Finite set

    • D. 

      Infinite set

  • 3. 
    The term "combinadic" is introduced by who?
    • A. 

      Knuth

    • B. 

      James McCaffrey

    • C. 

      Isaac Newton

    • D. 

      D.H Lehmer

  • 4. 
    The main purpose of the combinatorial number system is to provide a/an ......., each by a single number, of all  possible k-combinations of a set S of n elements
    • A. 

      Application

    • B. 

      Representation

    • C. 

      Imitation

    • D. 

      Emuneration

  • 5. 
    Corresponding assembly code was described as item 175 in .....?
    • A. 

      Primorial number system

    • B. 

      Factoradics

    • C. 

      Characteristic vectors

    • D. 

      HAKMEM

  • 6. 
    Combinatorial geometry is studied in ....?
    • A. 

      Music

    • B. 

      Mathematics

    • C. 

      Language

    • D. 

      History

  • 7. 
     Distinct numbers correspond to distinct k-combinations, and produce them in .......?
    • A. 

      Chronological order

    • B. 

      Alphabetic order

    • C. 

      Numeric order

    • D. 

      Lexicography order

  • 8. 
    Corresponding assembly code was described as ....... in HAKMEM.
    • A. 

      Item 175

    • B. 

      Item 250

    • C. 

      Item 140

    • D. 

      Item 125

  • 9. 
    Factorial number system is also known as?
    • A. 

      Bijection

    • B. 

      Primorial number system

    • C. 

      Combinatorial number system

    • D. 

      Factoradics

  • 10. 
    The fact that a unique sequence so corresponds to any number N was observed by?
    • A. 

      D.H Lehmer

    • B. 

      Knuth

    • C. 

      Isaac Newton

    • D. 

      James McCaffrey

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