Of the 180 judges appointed by a certain President, 30 percent were wo

Order in which I filled the chart

1) 180 judges total

2) # of women
= 30% of 180 = (.3 * 180) = 54 women

3) # of men: (180 - 54) = 126 men

4) # of minority group persons
= 25% of 180 = (.25 * 180) = 45 members of minority groups

5) # of persons NOT in minority groups: (180 - 45) = 135

6) # of women appointed who were from minority groups**
\(\frac{1}{9}\) of the women appointed were from minority groups
\((\frac{1}{9})\) * 54 = 6 of the women appointed were from minority groups

7) # of men appointed who WERE from minority groups
(45 - 6) = 39

8) ANSWER:
# of men who were NOT from minority groups = (??)
# of appointees were neither women nor from minority groups
(126 - 39) = 87

Answer C

Am I missing something?
I have serious doubts about this answer and/or
what seems like inconsistency between
how to pick an answer (choose the intersection box)
and
how to calculate the # of women who are members of minority groups
(do NOT use the intersection box. If you enter "20" in that
intersection box, you'll get 101 as your answer. Not a choice.)

**Prompt states: "1/9 of the women appointed were from minority groups..."
In that statement, "of the women" controls the calculation.
• There are 54 women
\(\frac{1}{9}\) of those 54 women are from minority groups
\(\frac{1}{9}\) * 54 = 6
• Scenario
W = Women
A = Member of a minority group
X = all appointees

(1/9 of W were A) \(\neq\) (1/9 of X were W AND A)

Do not put (\(\frac{1}{9}\)*180) = 20 in the box in which members of minority groups and women intersect.