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.

Calculation:

V_{k} (n) = \frac{n !}{( n - k ) !} n = 10 k = 4 V_{4} (10) = \frac{1 0 !}{( 1 0 - 4 ) !} = \frac{1 0 !}{6 !} = 10 \cdot 9 \cdot 8 \cdot 7 = 5040

The number of variations: 5040

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?

Permutations without repetition

Calculation:

The number of variations: 5040

A bit of theory - the foundation of combinatorics

Permutations

Foundation of combinatorics in word problems