how to find a vector in a known set of possibilities

Hi, say i have a vector v that can be one of previously known 11 possibilities. is there a simple way to know which possibility it is without compairing each element? (i think its something like a lookup table but the matlab lookup table function seems to do something completely different).

for example v=[1 0 0]; possibilities=[ 0 0 1; 0 1 1; 1 0 0...] the answer to this example should be 3 (v corresponds to row 3 in the possibilities matrix)

thanks

[Azzi Abdelmalek]

How did you find 11 possibilities?

Answer 1

[Azzi Abdelmalek]

Use the function below to find all possibilities

function y=arrangement(v,n)
 m=length(v);
 y=zeros(m^n,n);
 for k = 1:n
    y(:,k) = repmat(reshape(repmat(v,m^(n-k),1),m*m^(n-k),1),m^(k-1),1);
 end

Then write

v=[1 0];
n=3
y=arrangement(v,n)
idx=find(ismember(y,[1 0 0],'rows'))

[Itzik Ben Shabat]

find(ismember(y,[1 0 0],'rows')) is all i needed. thanks!