$[15$ pts$]$ Give the configuration after applying the appropriate transition function, using the symbols a$,$ b$,$ c$.$ Only apply the transition function once.

Available transition functions:

$(q_1,a)=(q_2,a,R)$

$(q_1,b)=(q_3,c,L)$

$(q_2,a)=(q_2,b,L)$

$(q_2,b)=(q_3,c,R)$

$(q_3,a)=(q_2,b,R)$

$(q_3,b)=(q_2,a,L)$