An archer hits arrows that all hit this target,he attains a score of 13.How many different combination give a sum of 13?

Question

The young lady who carried off the first prize scored exactly one hundred points. The scores on the target are: 16, 17, 23, 24, 39 and 40.

Can you figure out how many arrows she must have used to accomplish the feat?

Answer 1

1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 1 1 1 3
1 1 1 1 1 1 1 1 1 2 2
1 1 1 1 1 1 1 1 1 4
1 1 1 1 1 1 1 1 2 3
1 1 1 1 1 1 1 1 5
1 1 1 1 1 1 1 2 2 2
1 1 1 1 1 1 1 2 4
1 1 1 1 1 1 1 3 3
1 1 1 1 1 1 1 6
1 1 1 1 1 1 2 2 3
1 1 1 1 1 1 2 5
1 1 1 1 1 1 3 4
1 1 1 1 1 1 7
1 1 1 1 1 2 2 2 2
1 1 1 1 1 2 2 4
1 1 1 1 1 2 3 3
1 1 1 1 1 2 6
1 1 1 1 1 3 5
1 1 1 1 1 4 4
1 1 1 1 1 8
1 1 1 1 2 2 2 3
1 1 1 1 2 2 5
1 1 1 1 2 3 4
1 1 1 1 2 7
1 1 1 1 3 3 3
1 1 1 1 3 6
1 1 1 1 4 5
1 1 1 1 9
1 1 1 2 2 2 2 2
1 1 1 2 2 2 4
1 1 1 2 2 3 3
1 1 1 2 2 6
1 1 1 2 3 5
1 1 1 2 4 4
1 1 1 2 8
1 1 1 3 3 4
1 1 1 3 7
1 1 1 4 6
1 1 1 5 5
1 1 1 10
1 1 2 2 2 2 3
1 1 2 2 2 5
1 1 2 2 3 4
1 1 2 2 7
1 1 2 3 3 3
1 1 2 3 6
1 1 2 4 5
1 1 2 9
1 1 3 3 5
1 1 3 4 4
1 1 3 8
1 1 4 7
1 1 5 6
1 1 11
1 2 2 2 2 2 2
1 2 2 2 2 4
1 2 2 2 3 3
1 2 2 2 6
1 2 2 3 5
1 2 2 4 4
1 2 2 8
1 2 3 3 4
1 2 3 7
1 2 4 6
1 2 5 5
1 2 10
1 3 3 3 3
1 3 3 6
1 3 4 5
1 3 9
1 4 4 4
1 4 8
1 5 7
1 6 6
1 12
2 2 2 2 2 3
2 2 2 2 5
2 2 2 3 4
2 2 2 7
2 2 3 3 3
2 2 3 6
2 2 4 5
2 2 9
2 3 3 5
2 3 4 4
2 3 8
2 4 7
2 5 6
2 11
3 3 3 4
3 3 7
3 4 6
3 5 5
3 10
4 4 5
4 9
5 8
6 7
13

are all the possible combinations of numbers that all add up to 13. They are 101 in number