Question

10.1 2 3 4 5 61 2 3 4 52 3 4 53 4 5 64 556the figure above is a partially completed table showing the possible combinations of the roll of two number cubes. how many different combinations from the completed table will result in a roll of two cubes having a value of seven?a 12b 1c 3d 6

Explanation:

Step1: Identify sum=7 pairs

List pairs $(x,y)$ where $x+y=7$, $x,y \in \{1,2,3,4,5,6\}$
Pairs: $(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)$

Step2: Count valid combinations

Count the number of unique ordered pairs.
Count: $6$

Answer:

[D] 6