I don't understand the terminology you are using.

I have a perl package 'A' in which i have defined a variable in global section.

What is the "global section" of a Perl package?

... how many times will the variable in global section be redefined out of these 3 actions : object creation,function 1 call , function 2 call

I don't understand the word "redefined" in this context. Do you perhaps mean "accessed", either for read or write?

As already suggested, here's some code to perhaps provide a basis for discussion:

c:\@Work\Perl\monks>perl -wMstrict -le
"{ package A;
   our $count = 0;
   ;;
   sub new {
     my $class = shift;
     ++$count;
     return bless [ @_ ] => $class;
     }
   ;;
   sub ding { my $self = shift;  print 'ding';  return ++$count; }
   }
 ;;
 print 'count is: ', $A::count;
 ;;
 print 'create A object';
 my $oa = A->new('hi there');
 print 'count is: ', $A::count;
 ;;
 $oa->ding;
 print 'count is: ', $A::count;
 ;;
 $oa->ding;
 print 'count is: ', $A::count;
"
count is: 0
create A object
count is: 1
ding
count is: 2
ding
count is: 3
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