Question

How many four letter words with or without meaning, can be formed out of the letters of the word ${}^{\prime }LOGARITHM{S}^{\prime }$, if repetition of letters is not allowed

• A. $40$
• B. $400$
• C. $5040$
• D. $2520$

Answer 1

The correct option is C $5040$

${}^{\prime }LOGARITHM{S}^{\prime }$ contain $10$ different letters
Required number of words $=$ Number of arrangements of $10$ letters, taking $4$ at a time${=}^{10}{P}_4=5040$