Number combination.

Question

Can you provide all possible combination of numbers 1 to 16 by 8 not to be repeated? For example 1 2 3 4 5 6 7 8 but should not to be repeated.

This will be the same for question like All Possible 6/45 Lottery Number Combinations. It just that what i need is 8/16, and yes i need all the number list.

This 1 to 16 numbers where 16 rumbled numbers i just used 1 to 16 numbers as mappings since in this way it will be easier rather than using the original 16 rumble numbers.

Answer 1

The are indeed 12870 combinations, as mentioned in the comments. However, we can indeed write them all for you ;).

from itertools import combinations
r = list(range(1,17))
all_combinations = [",".join(map(str, comb)) for comb in combinations(r, 8)]

with open('combinations.txt', 'a') as f:
    f.write("\n".join(all_combinations))

produces

1,2,3,4,5,6,7,8
1,2,3,4,5,6,7,9
1,2,3,4,5,6,7,10
1,2,3,4,5,6,7,11
1,2,3,4,5,6,7,12
1,2,3,4,5,6,7,13
1,2,3,4,5,6,7,14
1,2,3,4,5,6,7,15
1,2,3,4,5,6,8,9
1,2,3,4,5,6,8,10
1,2,3,4,5,6,8,11
1,2,3,4,5,6,8,12
1,2,3,4,5,6,8,13
1,2,3,4,5,6,8,14
1,2,3,4,5,6,8,15
1,2,3,4,5,6,9,10
1,2,3,4,5,6,9,11
1,2,3,4,5,6,9,12
1,2,3,4,5,6,9,13
1,2,3,4,5,6,9,14
1,2,3,4,5,6,9,15
1,2,3,4,5,6,10,11
1,2,3,4,5,6,10,12
1,2,3,4,5,6,10,13
1,2,3,4,5,6,10,14
1,2,3,4,5,6,10,15
1,2,3,4,5,6,11,12
1,2,3,4,5,6,11,13
1,2,3,4,5,6,11,14
1,2,3,4,5,6,11,15
1,2,3,4,5,6,12,13
1,2,3,4,5,6,12,14
1,2,3,4,5,6,12,15
1,2,3,4,5,6,13,14
1,2,3,4,5,6,13,15
1,2,3,4,5,6,14,15
1,2,3,4,5,7,8,9
1,2,3,4,5,7,8,10
1,2,3,4,5,7,8,11
1,2,3,4,5,7,8,12
1,2,3,4,5,7,8,13
1,2,3,4,5,7,8,14
1,2,3,4,5,7,8,15
1,2,3,4,5,7,9,10
1,2,3,4,5,7,9,11
1,2,3,4,5,7,9,12
1,2,3,4,5,7,9,13
1,2,3,4,5,7,9,14
1,2,3,4,5,7,9,15
1,2,3,4,5,7,10,11
1,2,3,4,5,7,10,12
1,2,3,4,5,7,10,13
1,2,3,4,5,7,10,14
1,2,3,4,5,7,10,15
1,2,3,4,5,7,11,12
1,2,3,4,5,7,11,13
1,2,3,4,5,7,11,14
1,2,3,4,5,7,11,15
1,2,3,4,5,7,12,13
1,2,3,4,5,7,12,14
1,2,3,4,5,7,12,15
1,2,3,4,5,7,13,14
1,2,3,4,5,7,13,15
1,2,3,4,5,7,14,15
1,2,3,4,5,8,9,10
1,2,3,4,5,8,9,11
1,2,3,4,5,8,9,12
1,2,3,4,5,8,9,13
1,2,3,4,5,8,9,14
1,2,3,4,5,8,9,15
1,2,3,4,5,8,10,11
1,2,3,4,5,8,10,12
1,2,3,4,5,8,10,13
1,2,3,4,5,8,10,14
1,2,3,4,5,8,10,15
1,2,3,4,5,8,11,12
1,2,3,4,5,8,11,13
1,2,3,4,5,8,11,14
1,2,3,4,5,8,11,15
1,2,3,4,5,8,12,13
1,2,3,4,5,8,12,14
1,2,3,4,5,8,12,15
1,2,3,4,5,8,13,14
1,2,3,4,5,8,13,15
1,2,3,4,5,8,14,15
1,2,3,4,5,9,10,11
1,2,3,4,5,9,10,12
1,2,3,4,5,9,10,13
1,2,3,4,5,9,10,14
1,2,3,4,5,9,10,15
1,2,3,4,5,9,11,12
1,2,3,4,5,9,11,13
1,2,3,4,5,9,11,14
1,2,3,4,5,9,11,15
1,2,3,4,5,9,12,13
1,2,3,4,5,9,12,14
1,2,3,4,5,9,12,15
1,2,3,4,5,9,13,14
1,2,3,4,5,9,13,15
1,2,3,4,5,9,14,15
1,2,3,4,5,10,11,12
1,2,3,4,5,10,11,13
1,2,3,4,5,10,11,14
1,2,3,4,5,10,11,15
1,2,3,4,5,10,12,13
1,2,3,4,5,10,12,14
1,2,3,4,5,10,12,15
1,2,3,4,5,10,13,14
1,2,3,4,5,10,13,15
1,2,3,4,5,10,14,15
1,2,3,4,5,11,12,13
1,2,3,4,5,11,12,14
1,2,3,4,5,11,12,15
1,2,3,4,5,11,13,14
1,2,3,4,5,11,13,15
1,2,3,4,5,11,14,15
1,2,3,4,5,12,13,14
1,2,3,4,5,12,13,15
1,2,3,4,5,12,14,15
1,2,3,4,5,13,14,15
1,2,3,4,6,7,8,9
1,2,3,4,6,7,8,10
1,2,3,4,6,7,8,11
1,2,3,4,6,7,8,12
1,2,3,4,6,7,8,13
1,2,3,4,6,7,8,14
1,2,3,4,6,7,8,15
1,2,3,4,6,7,9,10
1,2,3,4,6,7,9,11
1,2,3,4,6,7,9,12
1,2,3,4,6,7,9,13
1,2,3,4,6,7,9,14
1,2,3,4,6,7,9,15
1,2,3,4,6,7,10,11
1,2,3,4,6,7,10,12
1,2,3,4,6,7,10,13
1,2,3,4,6,7,10,14
1,2,3,4,6,7,10,15
1,2,3,4,6,7,11,12
1,2,3,4,6,7,11,13
1,2,3,4,6,7,11,14
1,2,3,4,6,7,11,15
1,2,3,4,6,7,12,13
1,2,3,4,6,7,12,14
1,2,3,4,6,7,12,15
1,2,3,4,6,7,13,14
1,2,3,4,6,7,13,15
1,2,3,4,6,7,14,15
1,2,3,4,6,8,9,10
1,2,3,4,6,8,9,11
1,2,3,4,6,8,9,12
1,2,3,4,6,8,9,13
1,2,3,4,6,8,9,14
1,2,3,4,6,8,9,15
1,2,3,4,6,8,10,11
1,2,3,4,6,8,10,12
1,2,3,4,6,8,10,13
1,2,3,4,6,8,10,14
1,2,3,4,6,8,10,15
1,2,3,4,6,8,11,12
1,2,3,4,6,8,11,13
1,2,3,4,6,8,11,14
1,2,3,4,6,8,11,15
1,2,3,4,6,8,12,13
1,2,3,4,6,8,12,14
1,2,3,4,6,8,12,15
1,2,3,4,6,8,13,14
1,2,3,4,6,8,13,15
1,2,3,4,6,8,14,15
1,2,3,4,6,9,10,11
1,2,3,4,6,9,10,12
1,2,3,4,6,9,10,13
1,2,3,4,6,9,10,14
1,2,3,4,6,9,10,15
1,2,3,4,6,9,11,12
1,2,3,4,6,9,11,13
1,2,3,4,6,9,11,14
1,2,3,4,6,9,11,15
1,2,3,4,6,9,12,13
1,2,3,4,6,9,12,14
1,2,3,4,6,9,12,15
1,2,3,4,6,9,13,14
1,2,3,4,6,9,13,15
1,2,3,4,6,9,14,15
1,2,3,4,6,10,11,12
1,2,3,4,6,10,11,13
1,2,3,4,6,10,11,14
1,2,3,4,6,10,11,15
1,2,3,4,6,10,12,13
1,2,3,4,6,10,12,14
1,2,3,4,6,10,12,15
1,2,3,4,6,10,13,14
1,2,3,4,6,10,13,15
1,2,3,4,6,10,14,15
1,2,3,4,6,11,12,13
1,2,3,4,6,11,12,14
1,2,3,4,6,11,12,15
1,2,3,4,6,11,13,14
1,2,3,4,6,11,13,15
1,2,3,4,6,11,14,15
1,2,3,4,6,12,13,14
1,2,3,4,6,12,13,15
1,2,3,4,6,12,14,15
1,2,3,4,6,13,14,15
1,2,3,4,7,8,9,10
1,2,3,4,7,8,9,11
1,2,3,4,7,8,9,12
1,2,3,4,7,8,9,13
1,2,3,4,7,8,9,14
1,2,3,4,7,8,9,15
1,2,3,4,7,8,10,11
1,2,3,4,7,8,10,12
1,2,3,4,7,8,10,13
1,2,3,4,7,8,10,14
1,2,3,4,7,8,10,15
1,2,3,4,7,8,11,12
1,2,3,4,7,8,11,13
1,2,3,4,7,8,11,14
1,2,3,4,7,8,11,15
1,2,3,4,7,8,12,13
1,2,3,4,7,8,12,14
1,2,3,4,7,8,12,15
1,2,3,4,7,8,13,14
1,2,3,4,7,8,13,15
1,2,3,4,7,8,14,15
1,2,3,4,7,9,10,11
1,2,3,4,7,9,10,12
1,2,3,4,7,9,10,13
1,2,3,4,7,9,10,14
1,2,3,4,7,9,10,15
1,2,3,4,7,9,11,12
1,2,3,4,7,9,11,13
1,2,3,4,7,9,11,14
1,2,3,4,7,9,11,15
1,2,3,4,7,9,12,13
1,2,3,4,7,9,12,14
1,2,3,4,7,9,12,15
1,2,3,4,7,9,13,14
1,2,3,4,7,9,13,15
1,2,3,4,7,9,14,15
1,2,3,4,7,10,11,12
1,2,3,4,7,10,11,13
1,2,3,4,7,10,11,14
1,2,3,4,7,10,11,15
1,2,3,4,7,10,12,13
1,2,3,4,7,10,12,14
1,2,3,4,7,10,12,15
1,2,3,4,7,10,13,14
1,2,3,4,7,10,13,15
1,2,3,4,7,10,14,15
1,2,3,4,7,11,12,13
1,2,3,4,7,11,12,14
1,2,3,4,7,11,12,15
1,2,3,4,7,11,13,14
1,2,3,4,7,11,13,15
1,2,3,4,7,11,14,15
1,2,3,4,7,12,13,14
1,2,3,4,7,12,13,15
1,2,3,4,7,12,14,15
1,2,3,4,7,13,14,15
1,2,3,4,8,9,10,11
1,2,3,4,8,9,10,12
1,2,3,4,8,9,10,13
1,2,3,4,8,9,10,14
1,2,3,4,8,9,10,15
1,2,3,4,8,9,11,12
1,2,3,4,8,9,11,13
1,2,3,4,8,9,11,14
1,2,3,4,8,9,11,15
1,2,3,4,8,9,12,13
1,2,3,4,8,9,12,14
1,2,3,4,8,9,12,15
1,2,3,4,8,9,13,14
1,2,3,4,8,9,13,15
1,2,3,4,8,9,14,15
1,2,3,4,8,10,11,12
1,2,3,4,8,10,11,13
1,2,3,4,8,10,11,14
1,2,3,4,8,10,11,15
1,2,3,4,8,10,12,13
1,2,3,4,8,10,12,14
1,2,3,4,8,10,12,15
1,2,3,4,8,10,13,14
1,2,3,4,8,10,13,15
1,2,3,4,8,10,14,15
1,2,3,4,8,11,12,13
1,2,3,4,8,11,12,14
1,2,3,4,8,11,12,15
1,2,3,4,8,11,13,14
1,2,3,4,8,11,13,15
1,2,3,4,8,11,14,15
1,2,3,4,8,12,13,14
1,2,3,4,8,12,13,15
1,2,3,4,8,12,14,15
1,2,3,4,8,13,14,15
1,2,3,4,9,10,11,12
1,2,3,4,9,10,11,13
1,2,3,4,9,10,11,14
1,2,3,4,9,10,11,15
1,2,3,4,9,10,12,13
1,2,3,4,9,10,12,14
1,2,3,4,9,10,12,15
1,2,3,4,9,10,13,14
1,2,3,4,9,10,13,15
1,2,3,4,9,10,14,15
1,2,3,4,9,11,12,13
1,2,3,4,9,11,12,14
1,2,3,4,9,11,12,15
1,2,3,4,9,11,13,14
1,2,3,4,9,11,13,15
1,2,3,4,9,11,14,15
1,2,3,4,9,12,13,14
1,2,3,4,9,12,13,15
1,2,3,4,9,12,14,15
1,2,3,4,9,13,14,15
1,2,3,4,10,11,12,13
1,2,3,4,10,11,12,14
1,2,3,4,10,11,12,15
1,2,3,4,10,11,13,14
1,2,3,4,10,11,13,15
1,2,3,4,10,11,14,15
1,2,3,4,10,12,13,14
1,2,3,4,10,12,13,15
1,2,3,4,10,12,14,15
1,2,3,4,10,13,14,15
1,2,3,4,11,12,13,14
1,2,3,4,11,12,13,15
1,2,3,4,11,12,14,15
1,2,3,4,11,13,14,15
1,2,3,4,12,13,14,15
1,2,3,5,6,7,8,9
1,2,3,5,6,7,8,10
1,2,3,5,6,7,8,11
1,2,3,5,6,7,8,12
1,2,3,5,6,7,8,13
1,2,3,5,6,7,8,14
1,2,3,5,6,7,8,15
1,2,3,5,6,7,9,10
1,2,3,5,6,7,9,11
1,2,3,5,6,7,9,12
1,2,3,5,6,7,9,13
1,2,3,5,6,7,9,14
1,2,3,5,6,7,9,15
1,2,3,5,6,7,10,11
1,2,3,5,6,7,10,12
1,2,3,5,6,7,10,13
1,2,3,5,6,7,10,14
1,2,3,5,6,7,10,15
1,2,3,5,6,7,11,12
1,2,3,5,6,7,11,13
1,2,3,5,6,7,11,14
1,2,3,5,6,7,11,15
1,2,3,5,6,7,12,13
1,2,3,5,6,7,12,14
1,2,3,5,6,7,12,15
1,2,3,5,6,7,13,14
1,2,3,5,6,7,13,15
1,2,3,5,6,7,14,15
1,2,3,5,6,8,9,10
1,2,3,5,6,8,9,11
1,2,3,5,6,8,9,12
1,2,3,5,6,8,9,13
1,2,3,5,6,8,9,14
1,2,3,5,6,8,9,15
1,2,3,5,6,8,10,11
1,2,3,5,6,8,10,12
1,2,3,5,6,8,10,13
1,2,3,5,6,8,10,14
1,2,3,5,6,8,10,15
1,2,3,5,6,8,11,12
1,2,3,5,6,8,11,13
1,2,3,5,6,8,11,14
1,2,3,5,6,8,11,15
1,2,3,5,6,8,12,13
1,2,3,5,6,8,12,14
1,2,3,5,6,8,12,15
1,2,3,5,6,8,13,14
1,2,3,5,6,8,13,15
1,2,3,5,6,8,14,15
1,2,3,5,6,9,10,11
1,2,3,5,6,9,10,12
1,2,3,5,6,9,10,13
1,2,3,5,6,9,10,14
1,2,3,5,6,9,10,15
1,2,3,5,6,9,11,12
1,2,3,5,6,9,11,13
...

run the code yourself to get the rest.

Answer 2

Are you sure you're being asked to LIST them?
This is the combinations function on your calculator and you will realise that you are expecting to receive a large number of options, in fact $C(n,r)=\frac{n!}{(n-r)!r!}$ in this case we have $C(16,8)=\frac{16!}{(16-8)!8!}=12870$