The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)

a. not all women are strong

b. not all the children can be above average

c. not all Norwegian bachelor farmers are good looking

d. half the children must be below average