Question

The number of permutations that can be made by using all the letters of the word TATATEACUP that start with $A$ and end with $U$ is

• A. $5040$
• B. $8!5!3!3!$
• C. $3360$
• D. $360$

Answer 1

The correct option is C $3360$

Total letters of $=10$

When $A$ and $U$ are fixed we have to permute $8$ letters

Total number of words $=\frac{8!}{3!2!}=3360$