(10%) The following is an argument stated in English. Transcribe it into the language of sentence logic, with only three atomic sentences A, B, and C. You cannot use any additional atomic sentence. (1) Adam killed the victim, or Betty did, or Charlotte did. (2) Either Betty did not kill the victim, or both Betty and Charlotte did. (3) Charlotte did not kill the victim (4) So, Adam killed the victim. (60%) Construct a truth table for each of the four sentences in the transcribed argument. Clarifications and hints: So vou will construct four tables in total * The biggest table has eight rows, while the smaller has only two rows. * You must have sufficiently many columns. For example, if you construct a truth table for (AvB) &(~B), there must be a column for the part AvB, one for the part B, one for the whole sentence (AvB) &(~B), in order of increasing complexity