In how many different ways can the letters the word FORMULATE be arranged?

A. 8100

B. 40320

C. 153420

D. 362880

E. None of these

Answer: Option D

Solution(By Examveda Team)

The given word contains 9 letters, all different.
∴ Required number of ways
$$\eqalign{ & = {}^9{P_9} \cr & = 9! \cr & = \left( {9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \right) \cr & = 362880 \cr} $$