Question

How many different words can be formed by taking four letters out of the letters of the word 'AGAIN' if each word has to start with A ?

• A. 6
• B. 12
• C. 24
• D. None of the above

Answer 1

The correct option is C 24

The word to be formed must be of the form

$A\_\_\_$, where $\_$ to be filled by $A,I,N$ and $G$, and each to be used only once

There are $4$ choices for the second letter

There are $3$ choices for the third letter

And then there are $2$ choices for the last letter

$\therefore$ The total no of words formed $=4\times 3\times 2=24$

Hence, C is correct.