permute
verb
per·mute pər-ˈmyüt 
permuted; permuting
transitive verb
: to change the order or arrangement of
especially : to arrange in all possible ways
permutable
pər-ˈmyü-tə-bəl
adjective 
Word History
Etymology
Middle English, to exchange, from Anglo-French or Latin; Anglo-French permuter, from Latin permutare, from per- + mutare to change — more at mutable
First Known Use
1878, in the meaning defined above