Question

Number of $4$-lettered words, with or without meaning, that can be formed using letters in the word ${}^{\prime }LOGARITHM{S}^{\prime }$, if repetition of letters is not allowed is

• A. ${}^{10}{P}_4\times 4!$
• B. ${}^{10}{P}_4$
• C. $4!$
• D. none of these

Answer 1

The correct option is B ${}^{10}{P}_4$

There are $10$ letters in the word ${}^{\prime }LOGARITHM{S}^{\prime }$.

$\therefore$ The number of $4$ lettered words is
equal to the number of arrangements of $10$ letters, taken $4$ at a time, i.e., ${}^{10}{P}_4$