A survey is taken of 2,800 dog owners (each with one dog) is taken concerning sp

Question

A survey is taken of 2,800 dog owners (each with one dog) is taken concerning specific information about their dogs. It was found that 1,350 of the dogs were female, 1,972 were of mixed breed, 436 had long hair, 987 were female and were of mixed breed, 245 were female and had long hair, 232 were of mixed breed and had long hair, and 107 were all three (female, of mixed breed, and had long hair).

a) How many dogs were female and had long hair, but were not of mixed breed?

b) How many dogs were not female, were not of mixed breed, and did not have long hair?

Explanation / Answer

a) How many dogs were female and had long hair, but were not of mixed breed?

245 - 107 = 138

b) How many dogs were not female, were not of mixed breed, and did not have long hair?

2800 - 107 = 2693

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