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If three dice are thrown once, then there will be how many exhaustive number of cases ?

  • A.18
  • B.108
  • C.216
  • D.72

Answer: C

There are 216 exhaustive cases.

Each die can show any of 6 faces, independently of the others, so by the multiplication principle:

\[ 6 \times 6 \times 6 = 6^{3} = 216 \]

18 adds the faces instead of multiplying (\(6 + 6 + 6\)), 108 is half of 216, and 72 corresponds to no standard count. Exhaustive cases list every possible outcome, so all \(6^{3}\) combinations count.

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