Posted by **DC** on Friday, December 21, 2012 at 9:59am.

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.)

_____ x 10(to the 11th power) ways

- Algebra -
**Reiny**, Friday, December 21, 2012 at 10:29am
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

- Algebra -
**DC**, Friday, December 21, 2012 at 10:50am
You're awesome, thank you much and Happy Holidays to you!

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