Question

The number of letter words formed using letters of word ''CALCULUS'' is

• A. 5040
• B. 1540
• C. 1110
• D. 56

Answer 1

The correct option is A 5040

Therefore$,$ total number of word ${}^{\prime }CALCULU{S}^{\prime }$ $=8$

So $\frac{8!}{\left(2!\times 2!\times 2!\right)}$

$\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}$

$=7\times 6\times 5\times 4\times 3\times 2\times 1$

$=5040$

So, total of $5040$ words can be formed from the letters of the word ${}^{\prime }CALCULU{S}^{\prime }$

Hence,option $\left(A\right)$ is correct answer.