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?
Choose the correct choice from the following answers
A) 3  B) 4  C) 5  D) 6  E) 7
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= 
<gadget id="calculator">7+5+1+4+3+1</gadget>
<output>21</output>
21   So no. of patron don't have any pets=26-21= 
<gadget id="calculator">26-21</gadget>
<output>5</output>
5   5 patrons don't have any these pets   ANSWER:5
<result>C</result>
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?