Wednesday

October 1, 2014

October 1, 2014

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

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 10:41amvisualize 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 11:26amOh 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 11:30amIt 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**

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 ...

Math - Six people are going to sit in a row on a bench. Romeo wasnts to sit next...

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 ...

math - A team of 8 members are going to plan an excursion tour.the were going to...

English - 1. It is pain from growing quickly as a teenager. 2. It is pain from ...

algebra 1 - The Question Writing Commitee consists of seven volunteers from ...

Pre-Cal - Four couples have reserved seats in a row for a concert. How many ways...

English - Two of your friends are fighting with each other. What could you say ...