See also the
Dr. Math FAQ:
Browse High School Discrete Math
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Four-color map theorem.
How many handshakes?
Squares in a checkerboard.
- Venn Diagram of Natural Numbers [09/22/1999]
How can I construct a Venn diagram comparing the numbers 1 through 100 in
these 4 areas: odd, even, composite and prime?
- Venn Diagram of Our Number System [12/13/2002]
I don't know how to include complex numbers that consist of a real
part and an imaginary part. Can you please diagram this for me?
- Venn Diagram to Classify Quadrilaterals [01/02/2003]
I am looking for a Venn diagram that will accurately display the
relation among trapezoids, parallelograms, kites, rhombi, rectangles,
- Venn Diagram: Two Possibilities [01/14/2003]
The science club advisor asked club members what science courses they
liked. Eighteen members said they liked physics, 17 liked chemistry,
and 10 liked biology. However, of these, 9 liked physics and
chemistry, 4 liked biology and chemistry, 2 liked physics and biology,
and 2 liked all three. How many science club members were interviewed?
- Water, Gas, Electricity to Three Homes Puzzle [06/30/2002]
Connect three houses with each of three utilities without crossing any
lines. Is this possible?
- What is a Venn Diagram? [02/26/1998]
What is a Venn Diagram? What is its use, definition, and what does it
- What is Discrete Math? [10/8/1995]
I'm doing a project for school, and I need to know what discrete math is,
an example of it, and what careers it is used in.
- What is Discrete Math? [02/12/2001]
What is discrete mathematics, and why is it called "discrete"?
- What is the Four-Color Theorem? [04/03/1998]
What is the Four Color Theorem?
- Why Not Five Colors, All Touching? [04/30/2003]
A five-color map problem.
- Wilbert the Wonder Dog [11/14/2002]
Five masters and their five dogs need to cross a river.
- Winning at NIM [06/09/1997]
How do you ensure that you win the game of NIM?
- Word Problem Hints [3/12/1996]
Two questions: 1) There are 1000 lockers numbered 1-1000. Suppose you
open all of the lockers, then close every other locker. Then, for every
third locker... 2) A certain substance doubles in volume every minute. At
9:00 a.m. a small amount is placed in a container...