SOLUTION: A club has 50 members. a) How many ways are there to choose four members of the club to serve on an executive committee? [Num] ways b) How many ways are there to choos

Algebra ->  Permutations -> SOLUTION: A club has 50 members. a) How many ways are there to choose four members of the club to serve on an executive committee? [Num] ways b) How many ways are there to choos      Log On


   



Question 926313: A club has 50 members.

a) How many ways are there to choose four members of the club to serve on an executive committee?

[Num] ways

b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
A club has 50 members
....
a) How many ways are there to choose four members of the club to serve on an executive committee:
50C4 = %2850%2A49%2A48%2A47%29%2F%284%2A3%2A2%2A1%29 230,300
......
b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club,
where no person can hold more than one office? 50P4 = 50%2A49%2A48%2A47 = 5,527,200