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In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). Stated simply, it is the intuitive idea that if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.
The rule of sum is an intuitive principle stating that if there are a possible outcomes for an event (or ways to do something) and b possible outcomes for another event (or ways to do another thing), and the two events cannot both occur (or the two things can't both be done), then there are a + b total possible outcomes for the events (or total possible ways to do one of the things).
The rule of three can refer to a collection of three words, phrases, sentences, lines, paragraphs/stanzas, chapters/sections of writing and even whole books. [2] [4] The three elements together are known as a triad. [5]
For example, a pain-relief drug is tested on 1500 human subjects, and no adverse event is recorded. From the rule of three, it can be concluded with 95% confidence that fewer than 1 person in 500 (or 3/1500) will experience an adverse event. By symmetry, for only successes, the 95% confidence interval is [1−3/ n,1].
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.For example, 21 is the product of 3 and 7 (the result of multiplication), and (+) is the product of and (+) (indicating that the two factors should be multiplied together).
Example of long multiplication. The black numbers are the multiplier and the multiplicand. The green numbers are intermediary products gained by multiplying the multiplier with only one digit of the multiplicand. The blue number is the total product calculated by adding the intermediary products.
The young woman claimed to officers that she “was repeatedly assaulted” and “forced to remove her clothing” by at “least three teens” in the basement of a home on the same street.
Rule of three (hematology), a rule of thumb to check if blood count results are correct; Rule of three (mathematics), a method in arithmetic; Rule of three (medicinal chemistry), a rule of thumb for lead-like compounds; Rule of three (statistics), for calculating a confidence limit when no events have been observed; Rule of threes (survival ...
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