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

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Question

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

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

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