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I have a handful of dice:

5 dice

I throw three of them and get 5, 3 and 2:

3dice

Add the scores on the three dice. What do you get? Now multiply the scores. What do you get?

The next time I throw four of the dice and add and multiply the score as before.
This time the product is exactly 4 times the sum. What scores could I have thrown?

Again I throw four of the dice, adding and multiplying the scores as above. This time the product is exactly 5 times the sum. What scores could I have thrown?

For the last go I throw five of the dice and add and multiply the scores. The product is exactly 6 times the sum. What scores could I have thrown this time?