A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people? (Round the answer to five decimal places.)

Question

_____ x 10(to the 11th power) ways

Answer 1

For the first 4 positions, the order matters, so we have a permutation, followed by a combination

so number of ways
= 35x34x33x32xC(31,6)
= 9.2524 x 10^11

Answer 2

You're awesome, thank you much and Happy Holidays to you!

Answer 3

A school is electing students for class officers. There are four offices: president, vice president, secretary, and treasurer. The student with the most votes becomes president, second highest number of votes is vice president, and so on. If there are students in this class, how many ways can students be elected?