Permutations Generator (using letters of a word)

Overview

This tool lists out all the arrangements possible using letters of a word under various conditions. This can be used to verify answers of the questions related to calculation of the number of arrangements using letters of a word.

This tool programmatically generates all the arrangements possible. If you want to find out the number of arrangements mathematically, use Permutations Calculator

For example, consider the following question.

__How many words with or without meaning can be formed using the letters of 'CRICKET' such that all the vowels must come together?__

The answer of the above problem is $720$. Using this tool, it is possible to generate all these $720$ arrangements programmatically.

At the same time, Permutations Calculator can be used for a mathematical solution to this problem as provided below.

Vowels must come together. Therefore, group these vowels and consider it as a single letter.

i.e., CRCKT, (IE)

Thus we have total $6$ letters where C occurs $2$ times.

Number of ways to arrange these $6$ letters

$=6!2!=360$

All the $2$ vowels are different.

Number of ways to arrange these $2$ vowels among themselves

$=2!=2$

Required number of ways

$=360×2=720$

Note: This tool uses JavaScript for generating the number of permutations and can be slow for large strings. There is no way to stop the process in between.

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