Even Permutations Calculator

How the Even Permutations Calculator works:

The Even Permutations Calculator calculates the number of even permutations for a given number n. In mathematics, an even permutation is a permutation that can be achieved by an even number of pairwise swaps. The total number of even permutations is given by the formula:

$$\frac{n!}{2} \quad \text{for} \quad n > 2$$

Where n! is the factorial of n, and the division by 2 accounts for half of all permutations being even.

How to Use the Calculator:

1. Enter a Value for n: Input any positive integer greater than 2 into the calculator to find the number of even permutations.
2. Click Calculate: Once you click the Calculate button, the calculator will compute $\frac{n!}{2}$.
3. See the Result: The number of even permutations will be displayed below the input field.

Formula with Example:

For n > 2, the formula to compute the number of even permutations is:

$$\text{Even Permutations} = \frac{n!}{2}$$

Where $n!$ (n factorial) is the product of all integers from 1 to n. For example, if n = 5:

$$5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$$

Then the number of even permutations is:

$$\frac{120}{2} = 60$$$$\text{Even Permutations} = \frac{120}{2} = 60$$

So, there are 60 even permutations for n = 5.