Answer: The word "addressee" has 8 letters. To find the number of arrangements that can be made by taking 4 letters from these 8 letters, we can use the formula for combinations, which is:
n C r = n! / (r! * (n-r)!)
where n is the total number of items, r is the number of items to be selected, and ! represents the factorial function.
In this case, we want to select 4 letters from the 8 letters in "addressee", so n = 8 and r = 4. Substituting these values into the formula, we get:
8 C 4 = 8! / (4! * (8-4)!)
= (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (4 * 3 * 2 * 1)]
= 70
Therefore, there are 70 different arrangements that can be made by taking 4 letters from the letters of the word "addressee".
Explanation: