Answer:
2178
Step-by-step explanation:
We are given that
Number of members would not go to a park=1010
Number of members would not go to a beach=88
Number of members would not go to the family cottage=1212
Number of members would go to a neither a park nor beach=55
Number of members would go to neither a beach nor the family cottage=44
Number of members would go to neither a park nor the family cottage=77
Number of members would not go to a park or a beach or to the family cottage=33
Number of members would go to all three places=11
s=Number of non park goers only
t=Number of non park goers and non beach goers but not non family cottage goers
u=Number of non beach goers only
v=Number of non park goers and non family cottage goers but not non beach goers
w=Number of non park goers, non beach goers and non family cottage goers
x=Number of non beach goers, non family cottage goers but not non park goers
y=Number of non family cottage goers only
z=Number of not non park goers, not non beach goers and not non family cottage goers
According to question
Total number of family members=s+t+u+v+w+x+y+z=911+1124+22+11+22+44+11+33=2178
Hence, total number of family members=2178