We add the following types of vector partitions:

1. Vector partitions with distinct parts.
2. Vector partitions with parts from a given set.
3. Vector partitions where certain parts are allowed to repeat while others are not.

Component: combinatorics

Keywords: Vector Partitions, distinct parts

Author: Shriya M, Amritanshu Prasad

Branch/Commit: 4900861

Reviewer: Julian Rüth

Issue created by migration from https://trac.sagemath.org/ticket/34827