let me know detailed process of solving this problem 8 5 poi

let me know detailed process of solving this problem

8. (5 points) A group of investors has been classified according to whether they own stocks (S), bonds (B), or mutual funds (M). The results are presented in the diagram below How many own exactly one of these three types of investments or do not own both stocks and bonds. (A) 249 (B) 191 (C) 253 16 128 (D) 175 (E) 239 (F) 235 (G) 187 (B) 171 J) 127 (K) 123 (L) 45 (M) 150 (N) none of the others

Solution

Total investors= 8+16+64+128+1+2+32=251

For exactly one out of these(B,S,M), we will look for the part of circle which is not common in more than one of these.

Here, In B, 1 is not common with S and M.

In Circle of S, 8 investors only own S.

In M, 32 only own M.

Total investors who own exactly one are (1+8+32) = 41

Case 2,

Number of investors who do not own both stocks and bonds will be = (total investors - those who own both stocks and bonds)

Those who own both stocks and bonds are = 16 + 64=80

as they are common in B and S circle

Number of investors who do not own both stocks and bonds will be =251-80=171

Total investors who own exactly one or who do not own both stocks and bonds= 171+41 =212

option N