What is the minimum number of women who must have had all four items?

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Out of 100 women surveyed leaving Shoppers Stop, 83 had a white bag, 77 had black shoes, 62 carried an umbrella and 95 wore a ring.
What is the minimum number of women who must have had all four items?

posted May 26, 2014

+1 vote

95 ring + 5 not ring
(83 - 5 = 78) ring,white bag + 22 others
(77 - 22 = 55)ring,whitebag,black shoes + 45 others
(62 - 45 = 17)ring,whitebag,black shoes,umbrealla + 83 others

95 ring =5
83 white bag =17
77 black shoes =23
62 umbrellas =38
total =83
so, 100-83 =17 is the answer

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