A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable
The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 * 2 * 3 * 4 * 5 = 120
For an integer k that is greater than or equal to 1, k! (pronounced "k factorial") is k×(k-1)×(k-2)× ×1 By convention, 0! = 1 There are k! ways of ordering k distinct objects For example, 9! is the number of batting orders of 9 baseball players, and 52! is the number of different ways a standard deck of playing cards can be ordered The calculator above has a button to compute the factorial of a number To compute k!, first type the value of k, then press the button labeled "!"
the result when you multiply a whole number by all the numbers below it. For any whole number, the product of all the counting numbers up to and including itself. It is indicated with an exclamation point: 4! (read "four factorial") is 1 2 3 4 =
Factorials are particularly useful in calculating the number of ways an event can occur, for example, the number of possible orders of finish in a race
The factorial of a positive integer is the product of all of the integers from 1 up to the given integer The factorial is designated by the exclamation point ( ! ) placed behind the integer For example, 4! = 4 x 3 x 2 x 1 = 24
The exclamation point following a number is short-hand notation for a multiplication problem in which we multiply that number, times one smaller, times one smaller and so on till you get to 3 x 2 x 1 Then you stop For instance, 7! = 7x6x5x4x3x2x1 and 12!= 12x11x10x9x8x7x6x5x4x3x2x1 The factorial notation is used in the "binomial coefficient" and the "binomial formula " See p 34 in Dr Kim's class notes
A number factorial means to multiply that number by all the whole numbers below it It is written with a exclamation (!) mark after it, like this: 5!, and means: 5! = 5 x 4 x 3 x 2 x 1 = 120 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 Now here is a question for you: What is 4!?
{s} of factorials, of the total of an integer when multiplied by all lower positive integers (Mathematics); of a factor or factors (Mathematics); of an agent; of a factory