Calculate according Permutation and Correlation:

8 8 7 6 8 7 6 5
P P P P C C C C
3 4 6 1 3 5 2 0

To calculate the permutation and correlation of the given data:

Permutation:
Permutation refers to the arrangement of objects or data in a particular order.

In this case, we have the following data:
8 8 7 6 8 7 6 5

And the corresponding permutation factors:
P P P P C C C C
3 4 6 1 3 5 2 0

To calculate the permutation, we need to consider the number of items in the data and the factor for each item.

The first P factor is 3, which means that we take the first 3 items from the data and arrange them in a specific order. There are 8 items in the data, so we have 8! / (8-3)! = 8! / 5! = (8 * 7 * 6) / (3 * 2 * 1) = 56 permutations for the first P factor.

The second P factor is 4, so we take the first 4 items from the remaining data (after excluding the items used in the first permutation) and arrange them. There are 5 items remaining, so we have 5! / (5-4)! = 5! / 1! = 5 permutations for the second P factor.

Similarly, we calculate the permutations for the remaining P factors: 6 permutations for the third factor (6 items remaining), 1 permutation for the fourth factor (1 item remaining).

To calculate the total permutation, we multiply the permutations for each factor together: 56 * 5 * 6 * 1 = 1,680 permutations.

Correlation:
Correlation refers to the statistical relationship between two or more variables.

In this case, we have the following data:
8 8 7 6 8 7 6 5

And the corresponding correlation factors:
P P P P C C C C
3 4 6 1 3 5 2 0

To calculate the correlation, we need to consider the value of each item in the data and the corresponding factor for each item.

The first C factor is 3, which means that we take the first 3 items from the data and calculate their correlation. In this case, the correlation is calculated by finding the average of the 3 items. So, (8 + 8 + 7) / 3 = 7.67 is the correlation for the first factor.

Similarly, we calculate the correlations for the remaining C factors: 6.33 for the second factor (items 4, 5, 6), 6.5 for the third factor (items 7, 8, 9), and 0 for the fourth factor (item 10).

To calculate the overall correlation, we could take the average of the correlations for each factor. However, since the factors are not equally weighted, we need to multiply each correlation by its corresponding factor, and then sum them up and divide by the total number of factors.

(7.67 * 3 + 6.33 * 4 + 6.5 * 6 + 0 * 1) / (3 + 4 + 6 + 1) = 6.15 (rounded to two decimal places).

Therefore, the correlation for the given data is approximately 6.15.