How many combinations are available for each roll of the dice?

Question

How many combinations are available for each roll of the dice?

For instance to get a two you have to roll snake eyes so one possible roll. What about the rest?

2=1-1=1

3= 2-1 or 1-2=2

4=1-3 or 3-1 or 2-2=3

Answer 1

2

1 + 1

so 1 possible combination for 2.

3

1 + 2

2 + 1

so 2 possible combinations for 3.

4

1 + 3

2 + 2

3 + 1

so 3 possible combinations for 4.

5

1 + 4

2 + 3

3 + 2

4 + 1

so 4 possible combinations for 5.

6

1 + 5

2 + 4

3 + 3

4 + 2

5 + 1

so 5 possible combinations for 6.

7

1 + 6

2 + 5

3 + 4

4 + 3

5 + 2

6 + 1

so 6 possible combinations for 7.

8

2 + 6

3 + 5

4 + 4

5 + 3

6 + 2

so 5 possible combinations for 8.

9

3 + 6

4 + 5

5 + 4

6 + 3

so 4 possible combinations for 9.

10

4 + 6

5 + 5

6 + 4

so 3 possible combinations for 10.

11

5 + 6

6 + 5

so 2 possible combinations for 11.

12

6 + 6

1 possible combination for 12.

Observe the pattern of the number of possible combinations: 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1. Interesting, huh?

I hope that helps. :)

me07.

Answer 2

jsu keep making a table, u will see the pattern

all ur doin is adding...