23Application of Sets

A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded. 265 own a hand gun. 427 own a rifle. 499 supported the ban on hand guns. 132 own both a hand gun and a rifle. 200 own a rifle but no hand gun and do not support the ban on hand guns. 72 own a hand gun and support the ban on hand guns. 48 own both a hand gun and a rifle and also support the ban on hand guns. How many of the surveyed households: (a) only own a hand gun and do not support the ban on hand guns? (b) do not own a gun and support the ban on hand guns? (c) do not own a gun and do not support the ban on hand guns