DIY Challenge 4

What students worked out18

Student 112020-11-04
1) 8=3+5
8=3+4+1
8=3+3+2
8=3+1+1+1+1+1
8=3+1+1+1+2
8=3+1+1+3
8=3+1+4
8=3+2+3
8=3+1+2+1+1
8=3+1+1+2+1
8=3+2+1+1+1
8=3+3+1+1
8=3+1+3+1
8=3+2+2+1
8=3+1+2+2
8=3+2+1+2
Student 112020-11-04
2)10=6+4
10=6+3+1
10=6+1+3
10=6+2+2
10=6+2+1+1
10=1+2+1
10=6+1+1+2
10=6+1+1+1+1
Student 22020-11-05
https://drive.google.com/file/d/1jrhRXQTaQU66Z43v8lKkF72qSvUDtbCf/view?usp=sharing
sir, I noticed another very interesting thing in (1) the answer is 20,8-3=5 (2) the answer is 40 10-6=4 5 is one larger than 4 and is half in the answer
my prediction
————–
number-the number of which decomposition we’re talking about(8-3=5)
if it’s 6 the answer will be 10 and so on
if it’s 3 the answer will be 80 and so on
🙂 🙂 🙂 🙂 🙂
Student 12020-11-05
8=3+
- Student 12020-11-05
  accidently posted and did not finish
Student 12020-11-05
Combinations for 8 starting with 3 total=16
8=3+1+1+1+1+1
8=3+1+1+1+2
8=3+1+1+2+1
8=3+1+2+1+1
8=3+2+1+1+1
8=3+2+2+1
8=3+2+1+2
8=3+1+2+2
8=3+5
8=3+4+1
8=3+1+4
8=3+3+1+1
8=3+1+3+1
8=3+1+1+3
8=3+3+2
8=3+2+3
Student 42020-11-05
Combinations for 8 starting with the no. 3
1.3+1+1+1+1+1
2.3+1+1+1+2
3.3+1+1+2+1
4.3+1+2+1+1
5.3+2+1+1+1
6.3+2+2+1
7.3+2+1+2
8.3+1+2+2
9.3+5
10.3+4+1
11.3+1+4
12.3+3+1+1
13.3+1+3+1
14.3+1+1+3
15.3+3+2
16.3+2+3
Student 42020-11-05
Combinations for 10 starting with the no. 6
1.10=6+4
2.10=6+3+1
3.10=6+1+3
4.10=6+2+2
5.10=6+2+1+1
6.10=1+2+1
7.10=6+1+1+2
8.10=6+1+1+1+1
Student 12020-11-05
Combinations for 10 starting with 6 total=8
10=6+1+1+1+1
10=6+1+1+2
10=6+1+2+1
10=6+2+1+1
10=6+1+3
10=6+3+1
10=6+2+2
10=6+4
Student 142020-11-05
8=
3+5
3+1+1+1+1+1
3+2+3
3+1+1+3
3+3+2
3+1+1+1+2
3+1+2+2
3+1+2+1+1
3+2+2+1
3+2+1+2
3+1+3+1
3+4+1
3+3+1+1
3+1+4
3+1+1+2+1
3+2+1+1+1
Student 92020-11-06
1) 8=3+5
2)8=3+4+1
3)8=3+3+2
4)8=3+1+1+1+1+1
5)8=3+1+1+1+2
6)8=3+1+1+3
7)8=3+1+4
8)8=3+2+3
9)8=3+1+2+1+1
10)8=3+1+1+2+1
11)8=3+2+1+1+1
12)8=3+3+1+1
13)8=3+1+3+1
14)8=3+2+2+1
15)8=3+1+2+2
16)8=3+2+1+2
- Student 92020-11-06
  sir there are 16 ways
Student 92020-11-06
1)10=6+4
2)10=6+3+1
3)10=6+1+3
4)10=6+2+2
5)10=6+2+1+1
6)10=1+2+1
7)10=6+1+1+2
8)10=6+1+1+1+1
- Student 92020-11-06
  sir there are 8 ways
Student 142020-11-07
10=
6+4
6+2+2
6+1+2+1
6+1+1+2
6+2+1+1
6+1+1+1+1
6+3+1
6+1+3
Student 182020-11-10
We can think of it like first, we take the number we want to start the decomposing with say 6 and then we subtract 6 out of 10, that is 4 and then we have all the possibilities of 4, so there are 8 possibilities of decomposing 10 starting with 6
Student 32020-11-14
8=3+5
5 can be written in 16 ways

10=6+4
4 can be written in 8 ways
Student 32020-11-14
8=3+5
5 can be written in 16 ways

10=6+4
4 can be written in 8 ways
This is what I found