In a group, 22 women like Red colour, 20 women like blue colour and 19 women like Yellow colour. Among them, 5 women like both Red and Blue colour, 5 women like both Yellow and Blue colour and 9 women like both Red and Yellow colour. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color.
In a group, 22 women like Red colour, 20 women like blue colour and 19 women like Yellow colour. Among them, 5 women like both Red and Blue colour, 5 women like both Yellow and Blue colour and 9 women like both Red and Yellow colour. 14 women like only Blue color and 4 women all the three colors. Find the total number of women who like only Red color. Correct Answer 12
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Number of women who like Red colour = 22
Number of women who like Blue colour = 20
Number of women who like Yellow colour = 19
Number of women who like both Red and Blue colour = A + P = 5
Number of women who like both Yellow and Blue colour = C + P = 5
Number of women who like both Red and Yellow colour = B + P = 9
Number of women who like only Blue colour = Z = 14
Number of women who like all the three colours = P = 4
Number of women who like only Red colour = X
and X + A + B + P = 22
X + 1 + 5 + 4 = 22
X = 12
Hence, 12 is the correct answer.