# Permutations

Not what you're looking for?

A set of 10 flags, 5 red, 3 blue and 2 yellow are to be arranged in a line along a balcony. If flags of the same colour are INDISTINGUISHABLE, find the number of arrangements in which,

1) The three blue flags are together

2) The yellow flags are not together

3) The red flags occupy alternate positions in the line

4) If there is room for only 9 of the flags, find the total number of possible arrangements.

##### Purchase this Solution

##### Solution Summary

Finds the number of arrangements

##### Solution Preview

1) The three blue flags are together

We can consider the 3 blue flags to be 1

Remaining flags

Red= 5

Yellow= 2

Total=1+5+2= 8

Total no of arrangements= 8!= 40320 when the flags are distinguishable

But out of these 5! Arrangements of red flags and 2! Permutations of yellow flags are indistinguishable

Hence total no of arrangements=8!/(5!* 2!)= 168

Answer= 168

2) The yellow flags are not together

We can first consider the case where the ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.