How to resolve the algorithm Combinations with repetitions step by step in the Bracmat programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Combinations with repetitions step by step in the Bracmat programming language
Table of Contents
Problem Statement
The set of combinations with repetitions is computed from a set,
S
{\displaystyle S}
(of cardinality
n
{\displaystyle n}
), and a size of resulting selection,
k
{\displaystyle k}
, by reporting the sets of cardinality
k
{\displaystyle k}
where each member of those sets is chosen from
S
{\displaystyle S}
. In the real world, it is about choosing sets where there is a “large” supply of each type of element and where the order of choice does not matter. For example: Note that both the order of items within a pair, and the order of the pairs given in the answer is not significant; the pairs represent multisets. Also note that doughnut can also be spelled donut.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Combinations with repetitions step by step in the Bracmat programming language
Source code in the bracmat programming language
( ( choices
= n things thing result
. !arg:(?n.?things)
& ( !n:0&1
| 0:?result
& ( !things
: ?
( %?`thing ?:?things
& !thing*choices$(!n+-1.!things)+!result
: ?result
& ~
)
| !result
)
)
)
& out$(choices$(2.iced jam plain))
& out$(choices$(3.iced jam plain butter marmite tahin fish salad onion grass):?+[?N&!N)
);
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