Answer:
The largest possible number of adjacent empty chairs in a single row is 3
Step-by-step explanation:
The parameters given are;
The number of chairs = 8 × 10 = 80 chairs
The number of parents = 54
Sitting arrangements of parents = Alone or to one other person
Therefore;
The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7
Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;
7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56
But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;
7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54
The sitting arrangement for the 8th row is therefore
1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0
Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.
