Final answer:
The total number of combinations of bouquets and vases is found by multiplying the number of bouquets by the number of vase styles. For instance, if a shop offers 11 bouquets and 5 styles of vases, there would be 55 possible combinations.
Step-by-step explanation:
The question pertains to finding the total number of combinations of bouquets and vases in a flower shop that sells 11 different bouquets and multiple different styles of vase. To calculate the possible number of combinations, one can use the fundamental counting principle, which states that if there are n ways to do one thing, and m ways to do another thing after that, then there are n × m ways to do both. If the shop sells 11 different bouquets (n = 11) and let's say they have x different styles of vases, then there are 11 × x different combinations.
For example, if the shop had 5 styles of vases (x = 5), then there would be 11 × 5 = 55 possible combinations of bouquet and vase. This assumes that each bouquet can be paired with each style of vase without any restrictions.