JEE Math Practice Question

Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 balls is $$k{\left( {{3 \over 4}} \right)^9}$$ then k lies in the set :

1. A.{x $$\in$$ R : |x $$-$$ 3| < 1}
2. B.{x $$\in$$ R : |x $$-$$ 2| $$\le$$ 1}
3. C.{x $$\in$$ R : |x $$-$$ 1| < 1}
4. D.{x $$\in$$ R : |x $$-$$ 5| $$\le$$ 1}