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VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study Question 5

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study

Question 5

Which of the following products is a perfect square? The factorial notation is illustrated by $1!=1$, $2!=2\times1=2$, $3!=3\times2\times1=6$, and $4!=4\times3\times2\times1=24$.
  1. $98!\times99!$
  2. $98!\times100!$
  3. $99!\times100!$
  4. $99!\times101!$
  5. $100!\times101!$