# Data

You are making a string of coloured balloons as a decoration for the formal. If you have five green, six gold, and four white balloons, in how many ways can you arrange them along the string?

1. 👍
2. 👎
3. 👁
1. There are 15! ways to arrange the balloons. But, the 5 green balloons can be rearranged in 5! ways that appear the same. Same thing for the other colors. So, you end up with

15!/(5!6!4!) = 630,630 ways

1. 👍
2. 👎

## Similar Questions

1. ### math

A party store offers small balloons and large balloons. You can choose from pink, blue, green, and yellow balloons. You can choose from silver, gold, and white ribbons. Use the counting principle to find the number of different

2. ### science

when that air under the envelope is heated , the balloon lifts . which of the following statement is true A. hot air balloons use radiation to rise B. hot air balloons use conduction to rise C. hot air balloons use convection to

3. ### Physics

A bob of mass = 0.250 is suspended from a fixed point with a massless string of length = 23.0 . You will investigate the motion in which the string traces a conical surface with half-angle = 25.0. What tangential speed must the

4. ### Chemistry

Three balloons filled with three diffferent gaseous compounds each have a volume of 22.4 L at STP. Would these balloons have the same mass or contain the same number of molecules? Explain.

1. ### math

Enter your answer and show all the steps that you use to solve this problem in the space provided. A party store offers small balloons and large balloons. You can choose from pink, blue, green, and yellow balloons. You can choose

2. ### Science Halp

1 When the air under the envelope is heated, the balloon lifts. Which of the following statements is true. a. Hot air balloons use radiation to rise b. Hot air balloons use conduction to rise c. Hot air balloons use convection to

3. ### physics

A bob of mass = 0.250 is suspended from a fixed point with a massless string of length = 23.0 . You will investigate the motion in which the string traces a conical surface with half-angle = 25.0. What tangential speed must the

4. ### Algebra

Why are small balloons cheaper than large balloons?

1. ### Precalc

There are 12 balloons in a bag: 3 each of blue, green, red, and yellow. Three balloons are chosen at random. Find the probability that all 3 of the balloons are green, Thank you so much for the help.

2. ### Math

Question: You are making balloon arrangements for a birthday party. There are 16 white balloons and 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements you can make using every balloon.

3. ### Physics

Suppose you pluck a string on a guitar and it produces the note A at a frequency of 440 Hz. Now, you press your finger down on the string against one of the frets, making this point the new end of the string. The newly shortened

4. ### math

How many arrangements of balloons can be made using three red, four white, and five gold balloons?