Permutations Of Probability In Math

A. Permutation Formulas

Information :

n = The element in question
r = Element taken

_nP_r = Number of permutations of element n is taken r element

Example:

Determine the value of ₈P₃!

Answer:

B. Permutations If There Are Same Elements

B. 1 Permutation formula if there is the same element:

Information:

P = Permutation
n = Number of elements

k, l, and m = the number of the same elements

Example:

How many 7 numbers can be compiled from 4, 4, 4, 5, 5, 5, and 7!

Answer:

Number of numbers = 7, number of numbers 4 = 3 and number of numbers 5 = 3, then:

So there are 140 numbers that can be arranged.

C. Cyclic Permutations

The cyclical permutation is a permutation that arranges it in a circle.

C.1. Cyclical permutation formula:

P (cyclical) = (n - 1)!

Information :

P (suklis) = Cyclic permutation
n = number of elements

Example:

At an organization meeting was attended by 6 people who sat around a round table. What is the order that can happen?

Answer:

P (cyclical) = (n - 1)!
P (cyclical) = (6 - 1)!

P (cyclical) = 5!

P (cyclical) = 5 x 4 x 3 x 2 x 1

P (cyclic) = 120

So the arrangement that can happen is 120 possibilities.

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Reference :

• The mathematics book of the high school class XI IPA program

Sumber http://matematikaakuntansi.blogspot.com

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