Algernon, Basil and Clarence are either English or Irish, either Conservative or Liberal, and either Protestant or Catholic. In each case there is, as they all know, at least one of each.

None of them know which the others are, but Algernon and Basil have both been told that if Clarence is an Irish Catholic he cannot be a Liberal.

Basil asks Algernon whether he is a Conservative or a Liberal, and whether he is English or Irish. Algernon tells him.

After a pause for reflection, Basil is able to announce correctly the full particulars (English or Irish, Protestant or Catholic, Conservative or Liberal) of both Algernon and Clarence.

Determine the particulars for the three men.