Initialize an empty hash map to store the frequency of products.
Iterate over all pairs of distinct numbers in the array and calculate their product.
Update the hash map with the product as the key and increment its count.
Initialize a variable result to store the total number of valid tuples.
Iterate over the hash map, and for each product with a count greater than 1, calculate the number of tuples using the formula (count * (count - 1)) / 2.
Multiply the number of tuples by 8 to account for all permutations and add it to result.