How can I create this matrix?

[KSSV]

An example will hep us to help you.

Answer 1

[Stephen23]

n = 5;
r = 2:5;
F = @(k)any(permute(nchoosek(1:n,k),[3,1,2])==(1:n).',3);
M = cell2mat(arrayfun(F,r,'uni',0))

M = 5×26 logical array
   1   1   1   1   0   0   0   0   0   0   1   1   1   1   1   1   0   0   0   0   1   1   1   1   0   1
   1   0   0   0   1   1   1   0   0   0   1   1   1   0   0   0   1   1   1   0   1   1   1   0   1   1
   0   1   0   0   1   0   0   1   1   0   1   0   0   1   1   0   1   1   0   1   1   1   0   1   1   1
   0   0   1   0   0   1   0   1   0   1   0   1   0   1   0   1   1   0   1   1   1   0   1   1   1   1
   0   0   0   1   0   0   1   0   1   1   0   0   1   0   1   1   0   1   1   1   0   1   1   1   1   1

[Sourasis Chattopadhyay]

When I am running this code for n = 50 or 100 (n>25) In this case I am gettiing this type of error . What should I do?

[Walter Roberson]

For n = 100, you want a 100 x (100C7)) matrix, at least. That would require

space = 100 * nchoosek(sym(100),sym(7))

space = 

1600756080000

Gb = vpa(space/2^30,6)

Gb = 

1490.82

close to 1.5 terabytes, at least, even in the best case situation (no intermediate arrays of notable size.)

If your system cannot handle 32 gigabytes, what is your plan to handle 45 times as much memory (at minimum, if no duplicate copies have to be made for temporary computations) ?

[Sourasis Chattopadhyay]

Thank you for you answer .

[Walter Roberson]

You might be able to fit the 50 case. Change to

F = @(k)any(permute(nchoosek(uint8(1:n),k),[3,1,2])==uint8(1:n).',3);