What are the number of different words beginning and ending with a consonant, which can made out of the word "EQUATION" ? (Using the concept of Permutations-Combinations)
1 Answer
Jun 7, 2018
4320 ways
Explanation:
The word "Equation" has 8 letters all of which are unique.
We want the number of letter arrangements that start and end with a consonant. Let's first see that with letter arrangements, we're working with permutations (we care about the order of things). The general formula is:
First let's work with the end letters. We only want consonants (there are 3 of them), which gives:
For the letters in between the end letters, there are 6 of them (5 vowels and the one consonant we didn't use) and can be placed anywhere. That's
In total then, we have