Step 1 :Given that there are 16 articles and we need to select 7 of them in a specific order, we are looking for the number of permutations of 16 articles taken 7 at a time. The formula for permutations is given by \(nPr = \frac{n!}{(n-r)!}\).
Step 2 :Substituting the given values into the formula, we get \(16P7 = \frac{16!}{(16-7)!} = 57657600.0\) permutations.
Step 3 :Assuming it takes 1 minute to write a list of seven articles, the total time in minutes it would take to write all possible lists is equal to the total number of permutations, which is 57657600.0 minutes.
Step 4 :We know that there are 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Therefore, there are \(60 \times 24 \times 365 = 525600\) minutes in a year.
Step 5 :To find out how many years it would take to write all possible lists, we divide the total time in minutes by the number of minutes in a year. So, \(\frac{57657600.0}{525600} = 109.6986301369863\) years.
Step 6 :Rounding to one decimal place, it would take approximately \(\boxed{109.7}\) years to write all possible lists of seven articles.