Final answer:
The word SCARLET contains 7 letters. The number of different arrangements is 7! (7 factorial), which is equal to C. 5040.
Step-by-step explanation:
The word SCARLET contains 7 letters. To find the number of different arrangements that can be made with these letters, we can use the concept of factorial. Factorial is denoted by the exclamation mark (!) and represents the product of all positive integers up to a given number.
In this case, we have 7 letters, so the number of different arrangements is 7!. This can be calculated as:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
Therefore, the correct answer is option C, 5040.