Question $4$

$(2)$ Given $L=\{\begin{array}{ccc}\text{w}\text{i}\text{n}& \{a,& b{\}}^{*}\end{array}$ : exactly one prefix of $w$ ends in $\{$:$a\}.$ The

correct statements are:

$L$ is the set of strings composed of one or more a$\text{'}$s and zero or more b$\text{'}$s$.$

$L$ is the set of strings composed of one or more a$\text{'}$s and one or more b$\text{'}$s$.$

$L$ is the set of strings composed of zero or more b$\text{'}$s and a single a$.$

$L$ is the set of strings composed of one or more b$\text{'}$s and a single a$.$

a$,$ ab$,$ ba$,$ bba, bbab are in $L.$

$$ is in $L.$

aa is in $L.$

bb is in $L.$