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SASMO 2021 Grade 7 Question 13

SASMO · SASMO 2021 Grade 7

Question 13

The paper defines a special power notation $n!!$ by the following tower and example. Find the last digit of $2021!!-2020!!$.

Question illustration

Notation note: this is the paper's special notation, not the usual double factorial. The printed tower and its parenthesised example use inconsistent grouping. For this question, either grouping makes each expression a positive integer power of its first number, so the requested last digit is unaffected.
  1. 1
  2. 0
  3. 9
  4. 5
  5. None of the above