ITMC 2018 Grade 6 National Preliminary set01 Question 21

For a nonnegative integer $n$, $n!$ is the product of all positive integers at most $n$, with $0!=1$. For example, $1!=1$, $2!=2$, $3!=6$, $4!=24$. Among the eight numbers $9!+2,9!+3,\ldots,9!+9$, how many are prime?