human
In a garden, there are 10 rows with 8 flowers in each row. Additionally, there are 5 different species of flowers, and each row contains flowers of 2 different species, with one species being more prevalent than the other. What is the total number of flowers in the garden, and how many possible combinations of the species can be found in each row?
gpt
Step 1: Calculate the total number of flowers in the garden.
To find the total number of flowers, we need to multiply the number of rows by the number of flowers in each row.

Total number of flowers = (Number of rows) * (Number of flowers in each row)
Total number of flowers = 10 * 8
Total number of flowers = 80

Step 2: Calculate the possible combinations of species in each row.
Since there are 5 different species of flowers and each row contains flowers of 2 different species, we can use the combination formula to find the number of possible combinations.

The combination formula is: C(n, k) = n! / (k!(n-k)!)

In this case, n = 5 (total number of species) and k = 2 (number of species in each row).

C(5, 2) = 5! / (2!(5-2)!)
C(5, 2) = 5! / (2!3!)
C(5, 2) = (5 * 4 * 3 * 2 * 1) / ((2 * 1)(3 * 2 * 1))
C(5, 2) = (120) / (2 * 6)
C(5, 2) = 120 / 12
C(5, 2) = 10

So, there are 10 possible combinations of species in each row.

Final Answer:
The total number of flowers in the garden is 80, and there are 10 possible combinations of species in each row.