Posts Tagged ‘counting’
Friday, December 18th, 2009
Explanation of the Pigeon-Hole Principle
Description
A detailed tutorial on the pigeon-hole principle. Step by step tutorial including several examples of the pigeon-hole principle for reference.
Overview
The pigeon-hole principle is an important principle in math that states that if n items are to be put into m pigeon-holes, and n > m, then at least one pigeon-hole must contain more than one item. It is thought of as an extension of the counting principle. The pigeon-hole principle was first referred to as the drawer principle, or the shelf principle. Because of this, it is commonly called Dirichlet’s box principle or Dirichlet’s drawer principle. It is most commonly used with finite sets of elements; however, this principle can also be used with infinite sets.
Tags: algebra, box, counting, Dirichlet, drawer, elements, extension, finite, infinite, leftover, more, pigeon-hole, principle, remainder, sets, shelf, theory
Posted in Algebra | No Comments »
Thursday, December 10th, 2009
Overview of Two-Way Counting
Description
A detailed tutorial on two-way counting. Step by step tutorial including several examples of two-way counting for reference.
Overview
Two-way counting is when any expression for a given quantity are determined using two different counting approaches. Many people believe that a quadratic equation is the perfect example of two-way counting, because you find the quantity in more than one way. However, this is incorrect. Two-way counting is actually a backwards method – you have the quantity already, you just need to figure out how you could get it. This is used often in combinations and permutations, where you often already know what quantity you need to have, you just have to figure out how to get there.
Tags: binomial, combination, counting, equation, example, expression, method, permutation, quadratic, quantity, statistics, two, two-way, way
Posted in Statistics | No Comments »
Thursday, November 19th, 2009
Overview of Computation Methods
Description
A detailed tutorial on the four basic computation methods. Step by step tutorial including several examples of the four basic computation methods for reference.
Overview
Computation methods are the way you solve expressions and equations. The four basic ones are addition, subtraction, multiplication, and division. Addition and subtraction are inverses of each other, and multiplication and division are inverses of each other. All of them are extensions of counting and can easily be solved without too much effort.
Tags: add, addition, arithmetic, basic, computate, computation, counting, divide, division, method, multiplication, multiply, subtract, subtraction
Posted in Arithmetic | No Comments »
Tuesday, November 17th, 2009
Overview of the Fundamental Counting Principle
Description
A detailed tutorial on the fundamental counting principle. Step by step tutorial including several examples of the fundamental counting principle for reference.
Overview
The fundamental counting principle is a simple method of finding out how many times something occurs. It is a simplified form of finding permutations and combinations, and is used very often in statistics when permutations and combinations must be found. The fundamental counting principle states that if an event can occur in M ways, and another event can occur in N ways, then the first event followed by the second event can occur M * N ways. Basically, if you have two different options, and a different amount of each option, you can multiply them together to find the total number of ways you can combine these options.
Tags: algebra, amount, combinations, combine, counting, fundamental, multiplication, option, permutate, permutations, principle, statistics
Posted in Algebra | No Comments »
Thursday, November 5th, 2009
Using Tally Marks in Equations
Description
A detailed tutorial om how to use tally marks to solve equations. Step by step tutorial including several examples of tally marks for reference.
Overview
Tally marks are a way of counting that most of us were taught about at a young age – where you count to five by drawing four vertical bars with one diagonal line across them. But tally marks can also be used to help with equations, especially ones with addition and subtraction. As a tally mark is a type of counting numeral that gives you a visual example on solving equations, they can be very useful on simple additon and subtraction problems, as it helps to prove the right answer has been found.
Tags: arithmetic, bar, bars, count, counting, diagonal, five, five-bar, gate, horizontal, lines, numbers, numerals, tally marks, vertical, visual
Posted in Arithmetic | No Comments »
