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Geometry consistent: Show that the following statements are inconsistent: (a) The population of Smalltown consists exclusively...

Geometry consistent: Show that the following statements are inconsistent:

(a) The population of Smalltown consists exclusively of young married couples and their children.

(b) There are more adults than children.

(c) Every boy has a sister.

(d) There are more boys than girls.

(e) There are no childless couples.

Show that if any one of the five statements in those is omitted, the remaining four are consistent

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