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AMO · 2027 · Grades 6-7 · Self-study SET 32 Question 4

AMO

Question 4

Define $n!=n\times(n-1)\times\cdots\times2\times1$. For example, $4!=4\times3\times2\times1=24$ and $3!=3\times2\times1=6$. Simplify
$$\frac{29!\times29!}{28!\times28!}.$$

**Input:** Choose one option.
  1. 1
  2. 0
  3. $29!$
  4. 841
  5. 784