Response:
a)
b) 0.044Step-by-step breakdown:
Part a)
A Sonet consists of 14 lines. Raymond Queneau published a collection of 10 sonnets, each placed on separate pages. This implies that every page contains a 14-line poem. We are to determine how many unique sonnets can be created from the 10 published sonnets.
As the first line of a new sonnet can be chosen from any of the 10 published sonnets, it offers 10 options for the selection of the first line. Likewise, the second line of the new sonnet can also be from any of the 10 sonnets, leading to another 10 choices for the second line, and this applies identically for all 14 lines, resulting in 10 options for each line.
According to the fundamental principle of counting, the total number of possible sonnets would equal the product of the options available for all 14 lines.
Thus,
the number of sonnets created from those in the book = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 =sonnets
Therefore,can be formed from the 10 in the book.
Part b)
Next, we will ascertain how many sonnets can be generated that utilize none of the lines from the first and last page. Given that there are 10 pages total, the exclusion of the 1st and last leaves us with 8 pages (8 sonnets).Consequently, the number of options for each line of such a sonnet will be restricted to 8 choices. Applying the fundamental principle of counting, the total sonnets with no lines from either the first or last sonnet is calculated asThe probability that no lines are selected from either the first or the last sonnet =