# College Math

posted by .

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.)

The Answer is blank x 10 to the 11th power ways

• College Math -

I guess that the number of men and women doesn't matter so they're just 35 all.
My answer is 35P4 + 31C6.
.
I used permutations for the pres~sec b'cse they have diff roles, not like the advisory committee.
.
Email me at ust008332@gmail if you found a better answer.

• College Math -

The number of men and women is irrelevant (unless they've got any rules that restrict the gender of any of those posts), so all that matters is that there are (16+19)=35 people from which to choose. The instruction to round the answer to five decimal places is a red herring, as the answer must be an integer - even if you do have to express it in scientific notation because it's so large. Assuming that nobody can occupy more than one position on the committee, the number of permutations should be 35 x 34 x 33 x 32 x Choose(6 from 31), which is 35 x 34 x 33 x 32 x (31! / (6! x 25!)), which I reckon is 2.31310 x (10^13).

• College Math -

Oops - I can't do permutations properly: it's 25 times too big. That last calculation should have been 9.25240 x (10^11). Sorry!

• College Math -

Thank you all Very Much!

## Similar Questions

1. ### Algebra

A club with 35 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
2. ### Math

A committee is to be chosen from a group of 11 women and 14 men. How many ways can they select a president, treasurer, and secretary, if the treasurer and secretary must be males?
3. ### math

A committee is to be chosen from a group of 11 women and 14 men. How many ways can they select a president, treasurer, and secretary, if the treasurer and secretary must be females?
4. ### algebra

A club with 33 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
5. ### math

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?
6. ### Aglebra

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?
7. ### Algebra

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?
8. ### Discrete Math

3. A club with 8 women and 6 men needs to choose two different members to be president and vice president (combination or permutation). a. In how many ways is this possible?
9. ### Math

A committee of 5 people is to be formed from a group of 7 women and 4 men. How many possible committees can be formed if: the committee then must chose a president and a vice president, how many ways could these two positions be chosen?
10. ### Mathematics for social science

1.There are 20 people in a club. In how many ways can the club elect a president, a secretary and a treasurer, on person can hold more than one office?

More Similar Questions