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import itertools
from functools import reduce
CountOfCombination= 0
for i in itertools.product((1,2),(1,2,0),(1,2)):
       CountOfCombination += 1
       print('For combination {0} is product of values {1} and sum{2}'.format(i, reduce(lambda a, b: a*b,i),reduce(lambda a, b : a+b,i)))

print ('Count of combination is {0}'.format(CountOfCombination))

import itertools
cont = ""
index = 0
a=[]
while (cont != "N"):
    tips = input("Input combination :  ")
    for i in range(len(tips)):
        a[index][i] = tips[i]
        index += 1
        cont = input("Contiune? [Y/N]")

(1,2),(1,2,0),(1,2)

conbinations = []
while True:
    if combination := input("Input the combination: "):
        combination = list(map(float, combination.split()))
        conbinations.append(combination)
    else:
        break
print(conbinations)

Output:
Input the combination: 1 2
Input the combination: 1 2 0
Input the combination: 1 2
Input the combination: 
[[1.0, 2.0], [1.0, 2.0, 0.0], [1.0, 2.0]]

import itertools
from functools import reduce
conbinations = []
while True:
    if combination := input("Input the combination: "):
        combination = list(map(float, combination.split()))
        conbinations.append(combination)
    else:
        break
CountOfCombination= 0
for i in itertools.product(conbinations):
       CountOfCombination += 1
       print('For combination {0} is product of values {1} and sum{2}'.format(i, reduce(lambda a, b: a*b,i),reduce(lambda a, b : a+b,i)))

print ('Count of combination is {0}'.format(CountOfCombination))

Output:
/usr/bin/python3.10 /home/tauros/PycharmProjects/jaggedArray/venv/test1.py 
Input the combination: 1 2
Input the combination: 1 0 2
Input the combination: 
For combination ([1.0, 2.0],) is product of values [1.0, 2.0] and sum[1.0, 2.0]
For combination ([1.0, 0.0, 2.0],) is product of values [1.0, 0.0, 2.0] and sum[1.0, 0.0, 2.0]
Count of combination is 2

Process finished with exit code 0

Output:
For combination (1, 1) is product of values 1 and sum 2
For combination (1, 0) is product of values 0 and sum 1
For combination (1, 2) is product of values 2 and sum 3
For combination (2, 1) is product of values 2 and sum 3
For combination (2, 0) is product of values 0 and sum 2
For combination (2, 2) is product of values 4 and sum 4
Count of combination is 6

Process finished with exit code 0

for i in itertools.product(*conbinations)