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2. Factorial - Wikipedia

   en.wikipedia.org/wiki/Factorial

   [39] [40] The factorial number system is a mixed radix notation for numbers in which the place values of each digit are factorials. [ 41 ] Factorials are used extensively in probability theory , for instance in the Poisson distribution [ 42 ] and in the probabilities of random permutations . [ 43 ]

3. Factorial number system - Wikipedia

   en.wikipedia.org/wiki/Factorial_number_system

   The factorial number system is sometimes defined with the 0! place omitted because it is always zero (sequence A007623 in the OEIS). In this article, a factorial number representation will be flagged by a subscript "!". In addition, some examples will have digits delimited by a colon. For example, 3:4:1:0:1:0! stands for

4. Derangement - Wikipedia

   en.wikipedia.org/wiki/Derangement

   The number of derangements of a set of size n is known as the subfactorial of n or the n th derangement number or n th de Montmort number (after Pierre Remond de Montmort). Notations for subfactorials in common use include !n, D n, d n, or n¡ . [a] [1] [2] For n > 0 , the subfactorial !n equals the nearest integer to n!/e, where n!

5. List of factorial and binomial topics - Wikipedia

   en.wikipedia.org/wiki/List_of_factorial_and...

   This is a list of factorial and binomial topics in mathematics. ... Catalan number. ... Factorial number system; Factorial prime;

6. Falling and rising factorials - Wikipedia

   en.wikipedia.org/wiki/Falling_and_rising_factorials

   The falling factorial can be extended to real values of using the gamma function provided and + are real numbers that are not negative integers: = (+) (+) , and so can the rising factorial: = (+) . Calculus

7. 24 (puzzle) - Wikipedia

   en.wikipedia.org/wiki/24_(puzzle)

   The original version of 24 is played with an ordinary deck of playing cards with all the face cards removed. The aces are taken to have the value 1 and the basic game proceeds by having 4 cards dealt and the first player that can achieve the number 24 exactly using only allowed operations (addition, subtraction, multiplication, division, and parentheses) wins the hand.