A veterinarian surveys 26 of his patrons.He discovers that 14 have dogs, 10 have cats, and 5 have fish.Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish.If no one has all three kinds of pets, how many patrons have none of these pets?

• no. of patron have dogs = 14
  no. of patron have cats = 10
  no. of patron have fish = 5
  no. of patron have dogs and cats = 4
  no. of patron have dogs and fish = 3
  no. of patron have cats and fish = 1
  no. of patron have all three pets = 0
  no. of patron have only dogs = 7
  no. of patron have only cats = 5
  no. of patron have only dogs = 1
  So total no. of patron have pets =7+5+1+4+3+1=21
  So no. of patron don't have any pets =26-21=5
  5 patrons don't have any these pets
  no. of patron have dogs = 14
  no. of patron have dogs = 14
  no. of patron have dogs = 14
• 13 years agoHelpfull: Yes(8) No(1)
• A veterinarian surveys 26 of his patrons.He discovers that 14 have dogs, 10 have cats, and 5 have fish.Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish.If no one has all three kinds of pets, how many patrons have none of these pets?
  
  5 patrons
• 13 years agoHelpfull: Yes(5) No(3)