Need Further Explanation on a LG

MustBeFalse

Working a LG in the LSAT trainer (p.210), and I need further explanation on why this is the correct answer choice. Specifically Q2. I am including Q1 for context.

Seven coffees - F, G, and H from Brazil, and L, M, N, and O from Colombia - will be showcased on three different displays. One coffee will be displayed by itself on stand 1, and the other six coffees will be evenly split between stands 2 and 3. The following conditions apply:

F is displayed on stand 2
One of the displays will have exactly two Brazilian coffees
L and M must be displayed together
F and H cannot be displayed together

Q1) If O is displayed on stand 2, which of the following must be true?

(A) H goes on stand 1
(B) H goes on stand 3
(C) G goes on stand 2
(D) N goes on stand 1
(E) N goes on stand 2

ANSWER: (C) G goes on stand 2
If Oc is on stand 2, the only place Lc/Mc can go is stand 3. This forces Gb on stand 2, since there needs to be a bb combo, and Hb can't go with Fb.

1: Hb or Nc
2: Fb, Oc, Gb
3: Lc, Mc, Hb or Nc

Q2) Which of the following must be false?

(A) A Brazilian coffee is displayed by itself
(B) A Colombian coffee is displayed by itself
(C) One stand displays only Colombian coffees
(D) Two stands each display both Brazilian and Colombian coffees
(E) No stands displays only Colombian coffees

ANSWER: (E) No stands displays only Colombian coffees
For (E) to be true, each stand must have at least one Brazilian coffee. However, this cannot be true. Therefore, (E) must be false.

My thinking... If I take the diagram I used to answer Q1, which is

1: Hb or Nc
2: Fb, Oc, Gb
3: Lc, Mc, Hb or Nc

and I assume Hb is on stand 1 and Nc is on stand 3, I get

1: Hb
2: Fb, Oc, Gb
3: Lc, Mc, Nc

which follows all the rules, and has a stand that displays only Colombian coffees. So how is the answer choice, "No stands displays only Colombian coffees" - MUST BE FALSE?

I appreciate the help. I promise I am joining 7Sage after I finish the LSAT trainer. Thank you!!

aksxxxxx

For question 2:
1. Oc
2. Fb, Gb, Nc
3. Lc, Mc, Hb

Isn't the above valid? So stand 1 displays only Columbian coffees? Please help.

Nvm read the question wrong, silly mistakes