complex query

I need a formula to check down coloumn "I" for anyone called "Simon Gibbs"

and then check down coloumn "E" for any rows with "1" or "2" or "3" or "4" or "5" or "6" or "7" or "8" or "9" or "10"

and see how many rows that have simon gibbs and anyone these numbers in

to count Simon Gibbs in column I:
=COUNTIF($I:$I,"Simon Gibbs")
- or -
=COUNTIF($I:$I,"*Simon Gibbs*")

To count positive integers 1 through 10 in column E:
=SUMPRODUCT(--(ABS($E$1:$E$65000)=$E$1:$E$65000),--(INT($E$1:$E$65000)=$E$1:$E$65000),--($E$1:$E$65000<=10),--($E1:$E65000>=1))

Try...

=SUMPRODUCT(--($I$2:$I$100="Simon Gibbs"),--ISNUMBER(MATCH($E$2:$E$100,{1,2,3,4,5,6,7,8,9},0)))

or

=SUMPRODUCT(--($I$2:$I$100=L2),--ISNUMBER(MATCH($E$2:$E$100,$M$2:$M$11,0)))

...where L2 contains Simon Gibbs, and M2:M11 contains 1, 2, 3, etc.

Hope this helps!