$(1)$ Give the language, L$($G$),$ in a formal expression, including the relational operator in the length of strings.$$ e$.$g$.)$ L$($G$)=\{$w$|$ #$($a$)<$ #$($b$)$ in w$\}\{$ w$|$ #$($a$)=$ #$($b$)=$ #$($c$)$ in w $\}$

$(3)[5]$ Give a derivation for $01011010$ using the grammar in $(2)$