Question

How many $3$ lettered words with or without meaning can be formed by using distinct letter of English alphabet?

• A. $24\times 25\times 26$
• B. $25\times 24\times 22$
• C. $26\times 26\times 26$
• D. None of the above

Answer 1

The correct option is A $24\times 25\times 26$

Number of letters in English alphabet $=26$

We have to find the total number of three lettered words that can be formed using the letters of English alphabet.

So, first letter can be chosen in $26$ different ways by taking any one of the $26$ letters.

Similarly, second letter can be chosen in $25$ different ways from remaining $25$ letters.

And the third one is chosen in $24$ different ways.

By fundamental principle of counting,
required number of ways for choosing three letters is $26\times 25\times 24.$