The head of a newly formed Government desires to appoint five of the six elected ministers P, Q, R, S, T and U to portfolios of Foreign, Industry and Commerce, Agriculture, Rural Development and Human Resources. U does not want any portfolio if S gets one of the five. R wants either Foreign or Human Resources or no portfolio. Q says that if S gets Industry and Commerce or Rural Development then she must get the other one. T insists on a portfolio if P gets one.