The number of total possible bouquets is a combination because the order of flowers doesn't matter.

The combination formula is \(\frac{n! }{ (n-r)! r!}\), where \(n\) is the total number of options (in this case, the number of different flowers) and \(r\) is the number of options being picked (number of flowers in each bouquet).

The total possible bouquets of 2 different flowers is:

\(\frac{8! }{ (8-2)! 2!} \)
\(= \frac{8! }{ 6! 2!} \)
\(= \frac{8*7*6*5*4*3*2*1}{ (6*5*4*3*2*1)(2*1)} \)
\(= \frac{8*7}{2}\)
\(= 28\)

Quantity A is twice that, so it's 56.

The total possible bouquets of 5 different flowers is:

\(\frac{8! }{ (8-5)! 5!} \)
\(= \frac{8! }{ 3! 5!} \)
\(= \frac{8*7*6*5*4*3*2*1}{ (5*4*3*2*1)(3*2*1)} \)
\(= \frac{8*7*6}{6}\)
\(= 56\)

Quantity B is 56.

Thus, Quantity A = Quantity B.