The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?

$ \textbf{(A)}\ 80\qquad\textbf{(B)}\ 96\qquad\textbf{(C)}\ 100\qquad\textbf{(D)}\ 108\qquad\textbf{(E)}\ 192 $
To determine the total number of conference games scheduled, we need to consider the games played within each division and the games played between the divisions.

1. **Games within each division:**
   - Each division has 6 teams.
   - Each team plays every other team in its division twice.
   - The number of ways to choose 2 teams out of 6 is given by the combination formula:
     \[
     \binom{6}{2} = \frac{6 \cdot 5}{2 \cdot 1} = 15
     \]
   - Since each pair of teams plays twice, the total number of games within one division is:
     \[
     15 \times 2 = 30
     \]
   - There are two divisions, so the total number of games within both divisions is:
     \[
     30 \times 2 = 60
     \]

2. **Games between the divisions:**
   - Each team in one division plays each team in the other division once.
   - There are 6 teams in each division, so each team in one division plays 6 teams in the other division.
   - The total number of inter-division games is:
     \[
     6 \times 6 = 36
     \]

3. **Total number of conference games:**
   - Adding the games within the divisions and the games between the divisions, we get:
     \[
     60 + 36 = 96
     \]

Thus, the total number of conference games scheduled is \( \boxed{96} \).