6. Choose four different digits from 0 to 9 to fill in the four parentheses in the box, there are ( ) ways to make the statement in the box correct.

This sentence contains ( ) numbers greater than 1, ( ) numbers greater than 2, ( ) numbers greater than 3, and ( ) numbers greater than 4.
(A) 1
(B) 2
(C) 3
(D) 4
(1) Let the numbers filled in the four parentheses be $a$, $b$, $c$, and $d$ in sequence. There are 8 numbers in this sentence, and obviously $a > b > c > d \geqslant 0$.
(2) Since the four numbers in the parentheses are different, and only $0$ and $1$ are not greater than 1 (including the given 1), so $\mathrm{a} \geqslant 5$.
(3) Since $a \geqslant 5$, there must be at least one number greater than 4, so $d \geqslant 1$. If $a=5$, then one of $b$, $c$, and $d$ must be 0, which is not possible; therefore, $\mathrm{a} \geqslant 6$. Since $\mathrm{a}$ cannot be 8 (there is already one 1 among the 8 numbers), $\mathrm{a}=7$ or 6.
(4) When $a=7$, the smallest number $d \geqslant 2$.
When $\mathrm{d}=2$, $\mathrm{b}$ cannot be 6 (there are already 1, 2, 2, three numbers not greater than 2), so $\mathrm{b}$ can only be 5, and $\mathrm{c}=4$ or 3, which satisfies the conditions. The sentence is: This sentence contains 7 numbers greater than 1, 5 numbers greater than 2, 4 numbers greater than 3, and 2 numbers greater than 4; or this sentence contains 7 numbers greater than 1, 5 numbers greater than 2, 3 numbers greater than 3, and 2 numbers greater than 4.
When $\mathrm{d}=3$, to satisfy that there are three numbers greater than 4, then $\mathrm{b}$ and $\mathrm{c}$ must be 6 and 5, respectively, but there are not 5 numbers greater than 3.
(5) When $a=6$, then one of $b$, $c$, and $d$ must be 0 or 1, which can only be $d=1$. If $d=1$, then $\mathrm{b}=4$ (since $\mathrm{b}$ cannot be 5), $\mathrm{c} \geqslant 3$, so $\mathrm{c}=3$. The sentence is: This sentence contains 6 numbers greater than 1, 4 numbers greater than 2, 3 numbers greater than 3, and 1 number greater than 4; incorrect.
(6) Therefore, there are 2 ways to fill in the numbers. Choose B.