# how to find a vector in a known set of possibilities

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Itzik Ben Shabat on 15 Jul 2013
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 on 15 Jul 2013
How did you find 11 possibilities?

Azzi Abdelmalek on 15 Jul 2013
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 on 15 Jul 2013
find(ismember(y,[1 0 0],'rows')) is all i needed. thanks!

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