# Arithmetic & Algebra formulas:Permutations & Combinations

May 29th, 2015
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Combinations: nCk = n!/((n-k)k!)! Permutations: nPk = n!/(n-k)! Circular: (n-1)! k = number of objects selected from a pile of n objects n = total number of objects from which k objects can be selected

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Arithmetic & Algebra formulas:Properties of Numbers Formula 1. For any number a, exactly one of the following is true: a is Negative or Positive , a=02. If a and b are integers, the following four terms are synonymous: a is a divisor of b, a is a factor of b, b is divisible by a, b is multiple of a.3. The product of an even number of negative factor is positive4. The product of an odd number of negative factor is negative5. The reciprocal of any nonzero a is 1/a6. The product of any number and its reciprocal is 1: a x (1/a)=17. The number of integers from A to B inclusive is =B-A+18. An integer is any number in the set (-2-1, 0,1,2)9. The average consecutive numbers. Ex: from 14 to 26=(14+26)/2=2010. The numbers -2, -1, 0, 1, 2, 3 are consecutive integers..can be represented n, n+1, n+311. The numbers 0,2,4,6 are consecutive even integers can be written 2n, 2n+2, 2n+4.12. The numbers 1,3,5,7 are consecutive odd integers can be written 2n+1, 2n+3, 2n+5..Permutations & Combinations FormulaCombinations: nCk = n!/((n-k)k!)!Permutations: nPk = n!/(n-k)!Circular: (n-1)!k = number of objects selected from a pile of n objectsn = total number of

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