The six faces of dice are numbered 1 to 6. Tw dice are dropped on the table

lishar

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The six faces of dice are numbered 1 to 6. Tw dice are dropped on the table and the total of the numbers visible on both the dice is 35. What is the greatest product the numbers on the table have?
 
The six faces of dice are numbered 1 to 6. Tw dice are dropped on the table and the total of the numbers visible on both the dice is 35. What is the greatest product the numbers on the table have?


What are the events for which the total visible numbers is 35?
 
The six faces of dice are numbered 1 to 6. Tw dice are dropped on the table and the total of the numbers visible on both the dice is 35. What is the greatest product the numbers on the table have?
There are serious problems with the wording with the wording of this question.

Two dice dropped onto a table will show a sum of \(\displaystyle 2,~3,\cdots,11,~12\). So \(\displaystyle 35\) makes no sense.

If you do mean product then we have \(\displaystyle 1,~2,~3,~4,~5,~6,~8,~9,~10,~12,15,~16,~18,~20,~24,~25,~30,~36\) still no \(\displaystyle 35\).

Are you making a translation? Please correct the wording/
 
There are serious problems with the wording with the wording of this question.

Two dice dropped onto a table will show a sum of \(\displaystyle 2,~3,\cdots,11,~12\). So \(\displaystyle 35\) makes no sense.

If you do mean product then we have \(\displaystyle 1,~2,~3,~4,~5,~6,~8,~9,~10,~12,15,~16,~18,~20,~24,~25,~30,~36\) still no \(\displaystyle 35\).

Are you making a translation? Please correct the wording/

Each Dice will show 5 numbers (visible). Two numbers will be hidden.
 
Each Dice will show 5 numbers (visible). Two numbers will be hidden.
Well, thank you. I should never have guessed that was what that puzzle meant.
The sum of the numbers on a die is twenty-one.
So the sums of any five sides are: 15, 16, 17, 18, 19, 20. Rolling two dice the sums are 30 to 40.
Looking at this expansion, we see that there are thirty-six ways to get these sums. Six of those result in thirty-five.
 
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