In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances, 93 knew the ballroom and Latin dances, and 56 knew the Latin and swing dances. Thirty-one dancers indicated that they knew all three styles of dance.
Create a Venn diagram to reflect the above data, label your diagram.
Use your diagram to answer the following questions here.
(a) How many knew only the ballroom dances?
(b) How many knew only the Latin dances?
(c) How many knew exactly one of the three dances?
(d) How many knew the ballroom and swing dances, but not the Latin dances?
(e) How many knew none of these dances?