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A class adviser survey 35 of his students on the kind of pets they have at home. He found that 15 have dogs , 12 have cats , 8 have birds .5 have dogs and cats , 4 have dogs and birds ,2 have cats and birds .If no one has all three kinds of pets , how many students have none of these pets

Sagot :

With Dogs only: 15 - (5+4) = 6
With Cats only: 12 - (5+2) = 5
With Birds only: 8 - (4+2) = 2
With dogs and cats: 5
With birds and dogs: 4
With cats and birds: 2
With dogs, cats, and birds : 0
Total students surveyed: 35

 6 + 5 + 2 + 5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets