A and B are partners in a firm sharing profits in the ratio of $3:2$. They admit C as a partner for a $\frac{1}{3}$ share. The sacrificing ratio between A and B is:

In the absence of any information regarding how the new partner acquires their profit share from the existing partners, it is assumed that the old partners sacrifice in their old profit-sharing ratio. Therefore, the sacrificing ratio between A and B matches their old ratio of $3:2$.