Question

How many different words with or without meaning can be formed from all the letters of the word BHOPAL, if repetition is not allowed?

• A. 840
• B. 640
• C. 720
• D. 520

Answer 1

The correct option is C 720

The number of ways of arranging 6 different words
$6P6=6!=720$
Alternative method:-
BHOPAL contains 6 different letters, so six places are needed to be filled
First place can be filled in 6 ways
second place can be filled in 5 ways (repetation is not allowed)
.
.
Last place can be filled in 1 way
$\frac{6}{}\times \frac{5}{}\times \frac{4}{}\times \frac{3}{}\times \frac{2}{}\times \frac{1}{}=720$