Posted by **Shreya** on Friday, January 25, 2013 at 12:43am.

permuations

an orchestra has 2 violinsts, 2 cellisst, and 4 harpists. Assume that the players of each instrument have to sit together, but they can sit in their own group. In how many ways can the conductor seat the members of the orchestra in a line?

I just went 4*3*2 and got 24? is that wrong?

- Pre Calculus 12 -
**Reiny**, Friday, January 25, 2013 at 10:41am
visualize the groups V,C,H

these groups can be arranged in 3! ways or 6 ways

but within each group, the

violinists can be arranged in 2 way

the cellists in 2 ways

the harpists in 4! or 24 ways

so the number of arrangements

= 6(2x2x24) or 576 ways

- Pre Calculus 12 -
**Shreya**, Friday, January 25, 2013 at 11:26am
Oh but this is a multiple choice question and the only answers that it can be are

A 144

B 72

C 24

D 1728

- Pre Calculus 12 -
**Steve**, Friday, January 25, 2013 at 11:30am
It looks to me like you have a typo somewhere. Your answer of 4*3*2 indicates that there were 3 violinists or 3 harpists. In that case, multiply Reiny's answer by 3 to get 1728.

## Answer This Question

## Related Questions

- sociology - 3. If all of a company’s Filipino employees sit together for lunch, ...
- PLEASE HELP - a). How many ways can a person select three appetizers and two ...
- MAth - Please help. a). How many ways can a person select three appetizers and ...
- Sociology - Did I answer this question correctly? wi If all of a company’s ...
- Pre-Calculus - Big Bob is trying to shape up for the summer. He begins on the ...
- pre- calculus - In how many ways can a family of six be seated at a round table ...
- Math - Six people are going to sit in a row on a bench. Romeo wasnts to sit next...
- algebra 1 - The Question Writing Commitee consists of seven volunteers from ...
- Math - She does sit-ups.The table shows how long it takes her to do different ...
- 5th grade - sandys classroom has tables that are shaped like trapezoids. three ...

More Related Questions