Permutation and Combination

Permutation and Combination

 

concepts in mathematics. An m-permutation of n things is an ordered selection, or arrangement, on a line of m of them. An m-combination of n things is a selection of m of them without regard to order.

The n-permutations of n distinct things are often referred to as permutations (without qualification). The corresponding n-combinations are simply the whole collection as a single entity, which needs no special name.

References in classic literature ?
Meantime, as life wears on, it proves a game of permutation and combination of all possible positions of the parties, to employ all the resources of each and acquaint each with the strength and weakness of the other.
Every possible permutation and combination of pancake delicacies are featured, plus every possible reason for eating them!
Let [p.sub.1] compare with the ordinal number; if the ordinal is equal to [p.sub.1] or greater than [p.sub.1], then calculate the permutation and combination value ([p.sub.2]) of the next element according to the benchmark sequence.
In the process of the calculation of (3), each permutation and combination value in i - 1 elements of the jth corresponding group has proportional relation; that is to say, the proportion between each permutation and combination value and the first permutation and combination value [C.sub.j,i] is equal to the proportion between the number of the corresponding element and the number of the first element.
In fact, there is proportional relation between the permutation and combination value of the first element in the (j + 1)th element group and the permutation and combination value of the first element in the jth element group.
Take [C.sub.0,1] as the permutation and combination number of all elements for the sequence to be coded; n' is the number of all elements for the sequence to be coded; [w.sub.i] is the number of the first element in the benchmark sequence.
Mathematically, Delhi still stand a chance of qualifying for the knock- out stages, but a lot of permutation and combination needs to work in their favour for that to happen.