Permutations without repetition

The calculator calculates the number of permutations of n elements. Number of permutations is the number of ways to choose a sample of n elements from a set of n distinct objects where order does matter and repetition are not allowed. There are n! (n factorial) ways of arranging n objects into an ordered sequence.

Elements to choose from:

(n)

Calculate

A bit of theory - the foundation of combinatorics

Permutations

The permutation is a synonymous name for a variation of the nth class of n-elements. It is thus any n-element ordered group formed of n-elements. The elements are not repeated and depend on the order of the elements in the group.

$P(n)=n(n-1)(n-2)...1=n!$

A typical example is: We have 4 books, and in how many ways can we arrange them side by side on a shelf?

Foundation of combinatorics in word problems

• Subsets
  How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
• Neighborhood
  I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
• Eight blocks
  Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
• Combinations of sweaters
  I have four sweaters: two white, one red, and one green. How many ways can you sort them out?
• Fourland - characters
  In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them.

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