Here is one way...
=COUNTIF(OFFSET(A1,0,6-1,1000),">1")
Note that we are offsetting 5 columns from column A, so we have to subtract 1 from your 6 in order for you to put 6 into the formula (which I assume will ultimately come from a cell reference).
EDIT NOTE: I like FormR's solution better than this one (his formula is non-volatile whereas mine isn't).