Could you explain me the following statements.

I personally believe that if the above is a question, then it should end with a question mark. If it is a question, then the answer is yes! If you want me to also explain you "the following statements" then I'll do so only in the order given by:

perl -MList::Util=shuffle -E "say shuffle 1..5"
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You have to work out which is which, so some work is left to you, since this is not a helpdesk:

1. This is part of code assigning a string to a lexical variable which is declared in the same statement. But the string is not closed, which is the reason why it's only a portion of code - i.e. as such it is not valid Perl. The string also seems to contain code which resembles but is not Perl - it misses the correct statement separator and sports an unknown operator.
2. Assignment of a variable's value to another variable. The variables have the same name but (supposedly) live in different packages. The package the variable being assigned to lives in has a name which follows the convention Perl assigns to pragmatas, but which also sound dubious in that role...
3. A variable is assigned the full path to the program and then stripped of everything that precedes the last slash in it, including the latter.
4. A sub is called on a sub which is called on a literal string and on a variable. Both subs are called the "old" way, which is nowadays deprecated.
5. This is not valid Perl, but it would be if you remove a spurious slash. If you remove it, then a variable is assigned either the first command line argument or the first argument passed to a sub (depending on whether the expression is inside a sub or not) if the special variable $_ begins with a given string. (Upon assignement, if it takes place, either the @ARGV or @_ array gets shifted) But then it strongly smells like another error, and if it is then a tilde is missing somewhere to the effect that the assignement takes place if a generic variable, instead of $_, begins with that given string.