1. Divide the 11 natural numbers $1 \sim 11$ into two groups, $\mathrm{A}$ and $\mathrm{B}$, where $\mathrm{A}$ has 4 numbers and $\mathrm{B}$ has 7 numbers, such that the following condition is satisfied. There are $\qquad$ different ways to group them.
$$
\frac{A \text { group sum of all numbers }}{B \text { group sum of all numbers }}=\frac{5}{6}
$$
$14$