following strings state whether

or not it is an element of $L!E^{}L$ #$.$ You are required to include your

reasoning for each answer to

receive full credits.

a$.$

b$.$ aabbcc

c$.$ aabbcccc

d$.$ aabcc

following strings state whether

or not it is an element of $L!L$##$.$ You are required to include your

reasoning for each answer to

receive full credits.

a$.$

b$.$ aabbcc

c$.$ cccc

d$.$ aabb

Let $L=\{w\{a,b{\}}_{\text{:}}^{**}|w|-=30\}.$ List the first six elements in a

lexicographic enumeration of

$L.($The notation $"m-=3n"$ means $"$ mmod$3=$nmod$3"$ and

therefore $"|w|-={?}_{3}0"$ means $|w|mod3=0$mod$3=0.$ That is$,$ the

length of $w$ is a multiple of $3.)$

$.$

Give a simple, precise English description for the language $L.$

List the first six elements in a lexicographic enumeration of $L.$