Chapter 13: Q. 20. (page 868)

Arranging Flags How many different vertical arrangements are there of $10$ flags if $4$ are white, $3$ are blue, $2$ are green, and $1$ is red?

Short Answer

Expert verified

$12, 600$ different arrangements.

Step by step solution

Step 1. Given information.

$10$ flags are given.

In which $4$ are white, $3$ are blues, $2$ are green and $1$ is red.

Step 2. Calculation.

We seek the number of permutations of $8$ objects of which role="math" localid="1647416956508" $4, 3, 2, 1$ are different kinds of color.

We use formula-

$\frac{10!}{4! 3! 2! 1!} = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4!}{4! 3! 2! 1!} = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{3 \times 2 \times 2} = 12, 600$

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Arranging Flags How many different vertical arrangements are there of $10$ flags if $4$ are white, $3$ are blue, $2$ are green, and $1$ is red?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

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Arranging Flags How many different vertical arrangements are there of 10flags if 4are white, 3are blue,2are green, and1is red?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Geometry

Mechanics Maths

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Arranging Flags How many different vertical arrangements are there of $10$ flags if $4$ are white, $3$ are blue, $2$ are green, and $1$ is red?