The collection of these transformations forms the symmetric group. The parity of one of these is given by the nonzero values of the Levi-Civita symbol. They are classified as odd or even depending on the number of transpositions they can be decomposed into. This is the name given to a bijection of a set onto itself, and those that reverse the order of a pair are known as inversions. A special type of these that leaves no object in its (*) original place is called a derangement. For n objects, the number of these is equal to n factorial, and unlike combinations they take the order of elements into account. Shuffling generates a random one. For
The collection of these transformations forms the symmetric group. The parity of one of these is given by the nonzero values of the Levi-Civita symbol. They are classified as odd or even depending on the number of transpositions they can be decomposed into. This is the name given to a bijection of a set onto itself, and those that reverse the order of a pair are known as inversions. A special type of these that leaves no object in its (*) original place is called a derangement. For n objects, the number of these is equal to n factorial, and unlike combinations they take the order of elements into account. Shuffling generates a random one. For 10 points, identify these arrangements of a set of objects in a particular order.
The collection of these transformations forms the symmetric group.
permutation [prompt on "bijection" or "isomorphism"]