Venn diagram question???

Question

10. The lists below show 5 agricultural crops in Alabama, Arkansas, and Louisiana.

Alabama Arkansas Louisiana

Soybeans (s) Soybeans(s) Soybeans(s)

Peanuts (p) Rice(r) Sugarcane(n)

Corn(c) Cotton(t) Rice(r)

Hay(h) Hay(h) Corn(c)

Wheat(w) Wheat(w) Cotton(t)

Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of 5 crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set:

A' intersect K'

a. {n} b. {c,n,p,r,t} c. o (no subset?) d. {c, p, r, t}

Answer 1

A ∩ K = {s,h,w}

which is not among your answer options.

Edit:

Sorry , didn't see the NOT indicator.

A' ∩ K' = (A U K)' = {s,p,c,h,w,r,t}'

S = {s,p,c,h,w,r,t,n}

S ∩ (A U K)' = {n}