Question

An unusual die has the numbers 2,2,3,3, 7 and 7 on its six faces. Two of these dice are rolled, and the numbers on the top faces are added. How many different sums are possible?

Answer 1

To find the total numbers of sum, we just have to elevate the number of faces by the second power.

$6^2=36$

There are 36 total numbers of sums.

However, there are just 6 different sums.

$\begin{gathered} 2+2=4 \\ 2+3=5 \\ 2+7=9 \\ 3+3=6 \\ 3+7=10 \\ 7+7=14 \end{gathered}$

Therefore, there are 6 different sums.