A context$-$free grammar $($CFG$)$ consists of a set of productions that you use to replace a variable by a string of variables and terminals. The language of a grammar is the set of strings it generates. A language is context$-$free if there is a CFG for it$.$

G$1$ is a context$-$free grammar

whose rules are defined below:

What option$($s$)$ contain$($s$)$ strings generated by G$1?$ Select all the applies.

IMPORTANT NOTICE: There will not be any partial credits assigned to this question. You need to select all alternatives that are correct to receive $5$ points.

Group of answer choices

$010101$

$10101$

$000$

$111$

$101010$