Answer:
23.Option B is correct
24. Option C is correct
25. Option A is correct
26. Option A is correct
Explanation:
23. The number of students participated in all three activities:
N= 30-(5+1+2+3+4+2+2) = 30-19=11
=> Option B is correct
24.
A. n(C⋂D⋂F)=2, not 8 (as shown in picture) => incorrect
B. n(D⋂F⋂C)=2, not 0 (as shown in picture) => incorrect
C. n(D⋂F⋂C)=2, => correct
D n(D⋂F⋂C)'= 7+6+1+9+5+12+0=40, not 7 => incorrect.
25.
According to the picture and the given data:
n(F⋂B)= 3
n(F⋂B) = ii = 3
=> There is no error in ii (Option B is incorrect)
n(F) = 12
n(F) = i + ii = 12 + 3 = 15
=> error in i (ii is correct), i should be equal to n(F) - ii = 12 - 3 = 9
=> Option A is correct ( (there is error in i)
n(B) = 7
n(B) = ii + iii = 3 + 4 = 7
=> no error in iii (Option C is incorrect)
n(F⋃B)' = n(F+B-(F⋂B))'=20-(12+7-3)=4
n(F⋃B)' = iv = 4
=> no error in iv (Option D is incorrect)
26.
B, (A⋂B⋂C) = {2}, not empty => incorrect
C, (A⋂B⋂C) = {3}, not empty => incorrect
D, (A⋂B⋂C) = {4, 3}, not empty => incorrect
=> Option A is correct
