Columns E and F. (Text is all in one cell in column E)

AA BB CC 1
QQ WW EE 2
AA SS DD 3
AA BB CC 4
QQ WW EE 5
AA SS DD 6
AA BB CC 7

=SUMIF(E1:E7,"AA*",F1:F7) returns 21

How do I sumif for the cells that have AA & CC which would return 12?

Howard