How i can create a n+1 column matrix from n column matrix?

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i have a matrix 10*n, for example, let n=3
a= [ 1 2 3
1 2 4
1 2 5
1 3 4
1 3 5
1 4 5
2 3 4
2 3 5
2 4 5
3 4 5]
i want to create another matrix n+1
b=[1 2 3 4
1 2 3 5
1 2 4 5
1 3 4 5
2 3 4 5]
this is obtained from a as
{1 2 3} and from
{1 2 4}
{1 2 3 4} is created, where no pair must repeat and
{1 2 3} or
{1 2 4} or
{2 3 4}
all pair must be present in a or delete that pair.
please please help me.
i want to know how i can obtain a 4 column matrix from 3 column matrix, if i want 5 column from 4 column matrix then where is the main change in code.
please help me.

采纳的回答

Roger Stafford
Roger Stafford 2015-4-23
It looks to me as if you need to use:
b = nchoosek(1:5,4);

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