There are 15 different partitions of a set with four elements.
Choose 6 different ones and for each one \\( c : S \twoheadrightarrow P \\), find \\( g_! (c) \\),
where S, T, and \\( g : S \rightarrow T \\) are as indicated.

![Figure](https://docs.google.com/drawings/d/e/2PACX-1vRxaLcHmRP-2KRM7jPBtHyIFSBbj5OEFEH1n1kG7ADrD66emWS-59mFUSBHsYxyAXiHds_mtTqvIkUR/pub?w=106&h=121)