Correct Answer: 137

Explanation:

Let, total number of travelers = n (A U B U C)Number of traveler who had been to Spain, n(A) = 55

Number of traveler who had been to France, n(B) = 53Number of traveler who had been to Germany. n((C) = 79

Number of traveler who had been to Spain and France. n($A\bigcap_{}^{}B$) = 18

Number of traveler who had been to Spain aml Germany,n($A\bigcap_{}^{}C$)= 17

Number 01‘ traveler who had been to France and Germany. n ($B\bigcap_{}^{}C$) = 25

Number of traveler who had been to all three countries. n ($A\bigcap_{}^{}B\bigcup_{}^{}C$)= 10

SO, Travelers took part in the survey= $(A\bigcup_{}^{}B\bigcup_{}^{}C)$= n(A)+n(B)+ n(C)-n($A\bigcap_{}^{}B$)-n($B\bigcap_{}^{}C$)-n($A\bigcap_{}^{}C$)+n($A\bigcap_{}^{}B\bigcup_{}^{}C$)

= 55+53+79-18-17-25+10=197-60= 137