Prove that the permutations (12) and (123 . . . n) generate Sn. (That is, every member of Sncan be expressed as some combination of these elements.)

Jan. 20, 2017 – Chapter 1 Sound: Pitch, Dynamics, & Tone Color I. Pitch A. the relative highness or lowness heard in sound B. determined by the frequency of its vibrations – i.e. fast vibrations = high pitch; low vibrations = low pitch C. tone is a pitch whose sound has a definite vibration frequency 1. ex – middle C (C4) vibrates at 261.6 cycles per...