Mathematics

Mathematics, 23.08.2019 16:30, werty775581

Permutations:
what is the formula for calculating a permutation?
what is the formula for permutations with like objects?
what is the formula for permutations for objects arranged in a circle?

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Computers and Technology, 25.06.2019 07:50, joshbee2014

Assignment: permutations use the permutation formula   r ! ! n n p nr   to solve each problem. be sure to show all work leading to your answer. part i: solve real-world permutation problems choose any four (4) of the following five problems to solve. for each problem a) show how the permutation formula can be used to find the answer and b) write a sentence to explain the meaning of the answer for the situation. 1. to register for online banking services at a local credit union, you need to select a four-digit personal identification number, or pin code. the digits cannot be repeated. how many ways are there to arrange four digits out of the numerals 0 through 9 to create a code?

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Mathematics, 03.07.2019 17:20, james2811

2, 10.5%) structure of permutation: two permutations have the same structure if they have the same number of cycles of the same length, when written as products of disjoint cycles for example, permutation (12)(345)(67) has the same structure as (13) (245)(67), since they both have two 2-cycles and one 3-cycle; permutation (123) and (123) (4) (5)(6)(7) also have the same structure since in (123), we omit the 1-cycles; (123)(45) and (123)(4)(5) have different structure consider the permutation on 1,2,3,4,5. list the possible structures and their corresponding orders and numbers. the case for 1,2,3,4 is given as an example in table 1 table 1: permutations on (1.2.3.1) ructure order number (12) 6 3 (12)(34)2 3 (1234) 6

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Mathematics, 17.10.2019 18:10, bloodgif8921

5. abc-free permutations consider permutations of the 26-character lowercase alphabet e = {a,b,c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x,y,z} . 1. in how many of these permutations do a, b, c occur consecutively and in that order? 2. in how many of these permutations does a appear before b and b appear before c?

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Mathematics, 01.11.2019 05:31, justinerodriguz2878

Generating random permutations a permutation is a bijection σ : {} → {}. for every n there are n! different permutations. in this task we shall investigate algorithms that given n output a random permutation τ : {} → {}. the goal is for the algorithm on the one hand to spend as little time (in terms of big-oh) as possible, while on the other hand ensure that for every permutation σ it holds that pr[τ = σ] = 1 n! we will assume that the algorithm is given access to a function rand(i) that outputs a random number from {1, . . , i} in constant time.

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Permutations:
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