Question

Of all the $8$ letter words that can be formed by using all letters of the word $EQUATION$, how many begin with the letter $T$?

• A. $8!$
• B. $\frac{7!}{2!}$
• C. $7!$
• D. $6!$

Answer 1

Answer: (C)

$7!$

If the first letter is fixed, then we find out, the number of permutations of the remaining letters, i.e. $7$.

So, the number which begin with $T$ $=7!$.