SOLUTION: n a recent survey of 100 women, the following information was gathered. 38 use shampoo A. 39 use shampoo B. 31 use shampoo C. 8 use shampoos A and B. 6 use shampoos A and C.

Algebra ->  Probability-and-statistics -> SOLUTION: n a recent survey of 100 women, the following information was gathered. 38 use shampoo A. 39 use shampoo B. 31 use shampoo C. 8 use shampoos A and B. 6 use shampoos A and C.       Log On


   



Question 682675: n a recent survey of 100 women, the following information was gathered.
38 use shampoo A.
39 use shampoo B.
31 use shampoo C.
8 use shampoos A and B.
6 use shampoos A and C.
2 use shampoos B and C.
1 use all three.
Use the figure to answer the question in the problem.
How many are using shampoo A only (Region I)?
women

Answer by solver91311(24713) About Me  (Show Source):
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8 use both A and B, but that includes the 1 that uses all three, hence 7 use A and B only.

6 use both A and C, but that includes the 1 that uses all three, hence 5 use A and C only.

38 use A, but that includes the 7 that use A and B only, the 5 that use A and C only, and the 1 that uses all three, so 38 minus 7 minus 5 minus 1 = 25 use A only.

John

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