Mark each of the following true or false.

___ a. Every permutation is a one-to-one function. 

___ b. Every function is a permutation if and only if it is one to one. 

___ c. Every function from a finite set onto itself must be one to one. 

___ d. Every group G is isomorphic to a subgroup of S_G.

 ___ e. Every subgroup of an abelian group is abelian. 

___ f. Every element of a group generates a cyclic subgroup of the group. 

___ g. The symmetric group S₁₀ has 10 elements. 

___ h. The symmetric group S₃ is cyclic. 

___ i. S_n is not cyclic for any n. 

___ j. Every group is isomorphic to some group of permutations.