# Algebra

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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 -

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 -

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

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