COUNTIF Counting for Only One Occurrence in Two Columns

I have three columns (A,B,C) and four rows (1,2,3,4). In column “A” the value “100” is entered in all four rows. In column “B” the values are “ACC”, “SEC”, “AAC”, & “AAC”. In column “C” the values are “AAC”, “AAC”, “SEC”, & “AAC”.

I'm looking for a formula that counts the number of times the following conditions occur: the value "100" in column A and "AAC" in either column "B" or column "C". So, in the example the there are four occurrences where there is a "100" in column "A" and an "AAC" in column "B" or "C". What formula will give me the value "4"?

A few options, two SUMPRODUCT approaches for ex.

Formula:

=SUMPRODUCT((A1:A4=100)*ISNUMBER(SEARCH("AAC",B1:B4&"^"&C1:C4)))

or

Formula:

=SUMPRODUCT((A1:A4=100)*SIGN((B1:B4="AAC")+(C1:C4="AAC")))

If you've just the two columns in the "OR" test then I would go with option 2 -- if you've more then option 1 will be more succinct.

I made a mistake. I didn't give all the possible variables in my first example. In the attached example there are nine instances in which there is an "AAC" occurring in columns "B" or "C". What I'm looking for is a formula that will produce the values in cells "E2" (4), "F2" (4), & "G2"(1). "E2"s value is the number of times the value "100" appears in column "A" and "AAC" appears in either "B" OR "C". "F2"s value is the number of times the value "-110" appears in column "A" and "AAC" appears in either "B" or "C". "G2"s value is the number of times the value "0" appears in column "A" and "AAC" appears in either "B" or "C".

Oh, I see the confusion. The values in cells "E2", "F2" & "G2" should be where the formula goes. So pretend that the only information given is in columns "A", "B", & "C". I was just showing what values the formula SHOULD show given the data in columns "A", "B", & "C".

My mistake. Thank you! I will mark as solved.