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ITMC 2018 Grade 7 National Preliminary set01 Question 23

ITMC · ITMC 2018 Grade 7 National Preliminary set01

Question 23

The factorial $n!$ of a nonnegative integer is the product of all positive integers at most $n$, with $0!=1$. For example $1!=1,2!=2,3!=6,4!=24$. How many primes occur in $10!+2,10!+3,\ldots,10!+9$?
  1. 2
  2. 4
  3. 7
  4. 8
  5. None of these