Final answer:
There are 360 different four-letter arrangements possible using the letters from the word "chairs," calculated by the formula for permutations P(6, 4) being 6! / (6 - 4)! which equals to 360.
The correct answere is A.
Step-by-step explanation:
The question asks how many different four-letter arrangements can be made from the letters in the word "chairs," with each letter being used only once. To solve this, we need to use the concept of permutations. Since there are 6 different letters in the word "chairs" and we want to form arrangements of 4 letters, we select 4 letters from the 6 without repetition.
Permutations can be calculated using the factorial function. The formula for permutations of n items taken r at a time is P(n, r) = n! / (n - r)!.
For this question, P(6, 4) = 6! / (6 - 4)! = 6 × 5 × 4 × 3 / 2! = 360.
Therefore, there are 360 different four-letter arrangements possible using the letters from the word "chairs." The correct answer is A) 360.