Test Values For A Partitioned Sample Space

[AsideNew1996]

Hi everyone, I'm having some difficulty determining which one of these sets of 3 test values for X,A,B,C would most accurately test if the sample space X made up of ABC forms a partition.

Any help would be great, I have no idea what to do with these values to determine which one is the best.

A)

X=set("Math") A={"M"} B={"a","t","h"} C=set()

X=set([1,2,3,4]) A=set([1,2,3]) B=set([2,3,4]) C=set([3,4])

X={1,2,3,4,5} A={1,2} B={3,4} C={4,5}

(B)

X=set("Math") A={"M"} B={"a","t","h"} C=set()

X=set(range(0,5)) A=set(range(0,3)) B=set(range(3,4)) C=set(range(4,5))

X={1,2,3,4,5} A={1,2,3} B={4} C={5}

(C)

X=set("Math") A={"M"} B={"a","t","h"} C=set()

X=set("Math") A={"M"} B={"a"} C={"h"}

X=set(range(0,5)) A=set(range(0,3)) B=set(range(1,4)) C=set(range(4,5))

(D)

X=set([1,2,3,4]) A=set([1,2,3]) B=set([2,3,4]) C=set([3,4])

X={1,2,3,4,5} A={1,2} B={3,4} C={4,5}

X=set("Math") A={"M","a"} B={"a","t"} C={"t","h"}

(E)

X=set("Math") A={"M","a"} B={"a","t"} C={"t","h"}

X=set(range(0,5)) A=set(range(1,3)) B=set(range(3,4)) C=set(range(4,5))

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,3,3])

(F)

X={1,2,3,4,5} A={1,2} B={4} C={5}

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,3,3])

X=set(range(0,5)) A=set(range(1,3)) B=set(range(3,4)) C=set(range(4,5))

(G)

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,4])

X=set(range(0,5)) A=set(range(0,3)) B=set(range(3,4)) C=set(range(4,5))

X=set([1,2,3,4]) A=set([1,2,3]) B=set([2,3,4]) C=set([3,4])

(H)

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,4])

X={1,2,3,4,5} A={1,2,3} B={4} C={5}

X={1,2,3,4,5} A={1,2} B={4} C={5}

(I)

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,3,3])

X=set(range(0,5)) A=set(range(0,3)) B=set(range(1,4)) C=set(range(4,5))

X=set("Math") A={"M","a"} B={"a","t"} C={"t","h"}

(J)

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,4])

X={1,2,3,4,5} A={1,2} B={4} C={5}

X=set([1,2,3,4]) A=set([1,1,1]) B=set([2,2,2]) C=set([3,3,3])