Question

thirty - nine cities were researched to determine whether they had a professional sports team, a symphony, or a childrens museum. of these cities, 21 had a professional sports team, 20 had a symphony, 17 had a childrens museum, 14 had a professional sports team and a symphony, 8 had a professional sports team and a childrens museum, 10 had a symphony and a childrens museum, and 6 had all three activities. complete parts a) through e) below.
a) how many of the cities surveyed had only a professional sports team? (simplify your answer.)
b) how many of the cities surveyed had a professional sports team and a symphony, but not a childrens museum? (simplify your answer.)
c) how many of the cities surveyed had a professional sports team or a symphony? (simplify your answer.)
d) how many of the cities surveyed had a professional sports team or a symphony, but not a childrens museum? (simplify your answer.)

Explanation:

Answer:

(a) \(17 - 8=9\)
(b) \(14 - 8 = 6\)
(c) \((17 + 14- 8)-6=17\)
(d) \((17 + 14- 8)+(21 + 20-(17 + 14 - 8))-6=28\)