JSFiddle - React, Tailwind, and code Playground

HTML

<div id="out" />

JavaScript

// Inputs
var prefixes = [0, 6, 6, 8, 8, 8, 8, 8, 8, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 16, 15, 15, 18, 18, 18, 18, 18, 18, 23],
    suffixes = [0, 3, 3, 9, 11, 11, 11, 17, 18, 18, 20, 25, 25, 27, 30, 30],
    expected_result = 42;

// Associative Arrays
var prefixTotals = {},
    suffixTotals = {},
// Functions
    addTotal     = function( map, arr, other_map ){
        var t = 0, i = 0;
        for ( ; i < arr.length; ++i )
            t += arr[i].value;
        if (   ( other_map === undefined )
            || ( ( expected_result - t ) in other_map ) )
        {
            if ( !( t in map ) )
                map[t] = [];
            map[t].push( arr );
        }
    },
    calcPermutations     = function( affixes, map, other_map ) {
        var i = 0, j, k, l = affixes.length;
        for ( ; i < l; ++i )
        {
            addTotal( map, [ { index: i, value: affixes[i] } ], other_map );
            for ( j = i+1; j < l; ++j )
            {
                addTotal( map, [ { index: i, value: affixes[i] }, { index: j, value: affixes[j] } ], other_map );
                for ( k = j+1; k < l; ++k )
                {
                    addTotal( map, [ { index: i, value: affixes[i] }, { index: j, value: affixes[j] }, { index: k, value: affixes[k] } ], other_map );
                }
            }
        }
    },
    resultToString = function( affixes ){
        var s = [];
        for ( var i = 0; i < affixes.length; ++i )
            s.push( affixes[i].index + '=>' + affixes[i].value );
        return s.join(',');
    };

calcPermutations( prefixes, prefixTotals, undefined );
calcPermutations( suffixes, suffixTotals, prefixTotals );

var i,j,k,p,s,count = 0,html=[];
for ( i in suffixTotals )
{
    s = suffixTotals[i];
    p = prefixTotals[expected_result - i];
    for ( j = 0; j < p.length; ++j )
        for ( k = 0; k < s.length; ++k )
            html.push( 'Prefixes [' + resultToString( p[j] ) + '], Suffixes [' + resultToString( s[k] ) + ']' );
   ...