1.(6 pts) A computer from a particular manufacturer that meet the criteria for a client can be the Titanium model (T) or the NAS model (N), each model may have extended memory (M) or over drive (0) as described by the Venn diagram. Available computer models are T and N, meaning N is the complement of T. Using set theory, answer the following: M a. Are T and M mutually exclusive? b. Are N, T, and M collectively exhaustive? C. Are T and O mutually exclusive? d. Does the manufacturer make Titanium models with extended Memory and Over drive? e. Does the manufacturer make a NAS model that have neither extended memory nor over drive? f. is the set {N,T} a partition? Explain