formula - How to use array and OR and AND in google spread sheet -

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i've using formula in google sheet answer. somewhere logic wrong please suggest. logic applied seams wrong 

=arrayformula(sum(if(or(t:t="a",u:u="y"),1,0)))  b   x   y   x   y b   x

answer should 2. pls wrong ?

there ambiguity in question. in formula using, there or. either first column should have 'a' or second 1 should have 'y'. then, shouldn't answer 3?

the formula looking in case is:

=arrayformula(sum(if(add(if(a:a="a",true,false),if(b:b="y",true,false))>0,1,0)))

but if looking and, formula is:

=arrayformula(sum(if(multiply(if(a:a="a",true,false),if(b:b="y",true,false))>0,1,0)))

the basic concept here in array expression, simple boolean should replaced add or multiply depending on if or or and


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