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