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Default Autofilter and count on filtered data

I have the following 3 columns table starting at cell A2.
It is a simlified version since the real table is about 40x2000=8000 cells.

- A_B______C
1
2 a_b______c
3 1_#N/A___Ok
4 1_Ok_____Ok
5 3_Ok_____#N/A
6 4_#VALUE_#N/A
7 4_#VALUE_Ok
8 4_#N/A___Ok
9 4_Ok_____Ok

I want to get in row 1 the number of #Error codes per column (b and c) based
on column a filtered data. [If possible A1 should show filtered value.]

To be clear:
In the above table I implement autofilter to the range A3:C9 and after
having filter for value 4 in Column a,
I want to get as result [A1=4] B1=3, C1=1 (column b will have 2 times #VALUE
+ 1 #N/A = 3 and column c will have 1 time #N/A)
If I filter column a for 1 the results will be [A1=1] B1=1, C1=0 and if I
filter for 3 the results will be [A1=3] B1=0 and C1=1.

I don't want to implement individual filters on columns b and c for #Errors

Thank you in advance.
Ps. I am looking for a formula not VBA code
 
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