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SASMO 2020 Grade 2 Question 22

SASMO · SASMO 2020 Grade 2

Question 22

Tom rolled three standard six-sided dice of different colours. Each die has faces numbered 1, 2, 3, 4, 5 and 6. All three numbers rolled are different. In how many possible ways can Tom get a sum of 12?

Interpretation: Outcomes on the differently coloured dice are ordered: exchanging two colours’ numbers counts as a different outcome.

Answer format: enter the integer without units. Leading zeros are optional (the source uses four answer boxes).

Question illustration