olve the following problems. Please write your answers in reauauiu 1. Consider a set ofsymbols ={a,b,c),+ (1) Find all strings in * shorter than a#3 (2) Let L = { , a, bc). Is L a language on ? Why? (3) Write L and 2. Let lab). What language does the grammar with the following productions generated? Writ the language. S BA (I) Find a grammar that generates language L = { b"a": m 20,n21). (2) Find a grammar that generates language L = {c"bn+an, n, m120)