How many ways can the offices of president, vice-president, treasurer, secretary, parliamentarian, and representative be filled from a class of 30 students?

Answer 1

combinations of 30, six at a time.

n!/[(r!)(n-r)!]

30*29*28*27*26*24 .../[(6*5*4*3*2)(24*23*....]

30*29*28*27*26 /(6*5*4*3*2)

30*29*28*27*26 / (30*4*3*2)

29*28*27*26 / (4*3*2)

29 * 7 * 9 * 13