21+Permutations

Permutations

1) Definition- The action of changing the arrangement, esp. the linear order, of a set of items

- Used for the study of sorting algorithms in computer science - Simply rearranging a combination of variables in as many ways possible

2)
 * 1)** **In combinatorics**

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If M is a finite multi-set then the multiset permutation of M is given by the multinomial coefficient



In layman’s terms permutations can be described simply by taking one set of data to create as many other possible combinations of that data which can be effective in many real life situations in the work place or just creating a seating order.

3) 1) Telephone numbers in the US have 10 digits. The first three form the area code and the next seven form the local telephone number. In 1990, twenty-three states had a single area code for all telephone number in the state. What is the maximum number of local telephone numbers that are possible within each of those states? (A local telephone number cannot have 0 or 1 as its first second digit) (xxx) __8__ __8__ __10__, __10__ __10__ __10__ __10__ 6,400,000 land lines

2) Write all permutations of the letters A, B, and C. 3!= 3, 2, 1= 6 ABC, ACB, BAC, BCA, CBA, CAB

3) The employees of a company are in six departments. 31 are in sales, 54 are in research, 42 are in marketing, 20 are in engineering, 47 are in finance and 58 are in production. If one employees paycheck is lost, what is the probability that the employee is not in the research department?

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4) http://www.mathsisfun.com/combinatorics/combinations-permutations.html

http://www.mathwords.com/p/permutation_formula.htm

http://www.omegamath.com/Data/d2.2.html

http://www.tutors4you.com/permutationcombinationtutorial.htm