In the charts below:
A represents "Alden"
B represents "Brent"
C represents "Craig"
D represents "David"
g represents "high school graduate"
w represents "at least two years of previous work"
v represents "veteran"
r represents "satisfactory references"
X represents "meets the requirement", and
O represents "does not meet the requirement".
Using (4) and (5):
(A) (B) (C) (D)
+---+---+---+---+
(g) | | | | |
+---+---+---+---+
(w) | | | | |
+---+---+---+---+
(v) | | X | X | |
+---+---+---+---+
(r) | | | | X |
+---+---+---+---+
Then, from (2) and (3), one the four partially filled charts is possible:
(I) (II) (III) (IV)
(A) (B) (C) (D) (A) (B) (C) (D) (A) (B) (C) (D) (A) (B) (C) (D)
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(g) | X | X | | | | X | X | | | | O | O | | | | O | O | | |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(w) | | | X | X | | | | O | O | | | | X | X | | | | O | O |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(v) | | X | X | | | | X | X | | | | X | X | | | | X | X | |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(r) | | | | X | | | | | X | | | | | X | | | | | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+ +---+---+---+---+
In (IV), no one can meet both (g) and (w) requirements; so from (1), chart IV is eliminated.
From (1), "O´s" can be added to each of the charts I, II and III:
(I) (II) (III)
(A) (B) (C) (D) (A) (B) (C) (D) (A) (B) (C) (D)
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(g) | X | X | O | | | X | X | | | | O | O | | |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(w) | | O | X | X | | | | O | O | | | O | X | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(v) | O | X | X | O | | O | X | X | | | | X | X | O |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(r) | | | O | X | | | | | X | | | | O | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
From (1) again, an "X" can be added to each of charts I, II and III:
(I) (II) (III)
(A) (B) (C) (D) (A) (B) (C) (D) (A) (B) (C) (D)
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(g) | X | X | O | | | X | X | | | | O | O | | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(w) | | O | X | X | | | X | O | O | | | O | X | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(v) | O | X | X | O | | O | X | X | | | | X | X | O |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(r) | | X | O | X | | | | | X | | | | O | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
From (1) again, "O´s" can be added to each of charts I, II and III:
(I) (II) (III)
(A) (B) (C) (D) (A) (B) (C) (D) (A) (B) (C) (D)
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(g) | X | X | O | O | | X | X | O | | | O | O | O | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(w) | | O | X | X | | O | X | O | O | | | O | X | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(v) | O | X | X | O | | O | X | X | | | | X | X | O |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
(r) | O | X | O | X | | | | | X | | | | O | X |
+---+---+---+---+ +---+---+---+---+ +---+---+---+---+
Chart III is now eliminated, from (1), because no one can meet both the (g) and (v) requirements.
At this point only Brent can meet more requirements than each of the other men; so, Brent was hired.
Charts I and II may be completed as follows.
From (1), "X´s" can be added to each of the charts I and II:
(I) (II)
(A) (B) (C) (D) (A) (B) (C) (D)
+---+---+---+---+ +---+---+---+---+
(g) | X | X | O | O | | X | X | O | |
+---+---+---+---+ +---+---+---+---+
(w) | X | O | X | X | | O | X | O | O |
+---+---+---+---+ +---+---+---+---+
(v) | O | X | X | O | | O | X | X | |
+---+---+---+---+ +---+---+---+---+
(r) | O | X | O | X | | | X | | X |
+---+---+---+---+ +---+---+---+---+
Then chart II can be completed only by adding "O´s":
(II)
(A) (B) (C) (D)
+---+---+---+---+
(g) | X | X | O | O |
+---+---+---+---+
(w) | O | X | O | O |
+---+---+---+---+
(v) | O | X | X | O |
+---+---+---+---+
(r) | O | X | O | X |
+---+---+---+---+
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