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IKMC 2019 - Grades 11-12 - Set 2 - Self-study Question 11

IKMC · IKMC 2019 - Grades 11-12 - Set 2 - Self-study

Question 11

What is the highest power of 3 dividing $7!+8!+9!$? Here $n!=n(n-1)\cdots2\cdot1$.
  1. $3^2$
  2. $3^4$
  3. $3^5$
  4. $3^6$
  5. A power greater than $3^6$