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Chapter 13: Q. 20. (page 868)

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

Short Answer

Expert verified

12,600different arrangements.

Step by step solution

01

Step 1. Given information.

10flags are given.

In which 4are white, 3are blues,2are green and1is red.

02

Step 2. Calculation.

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

We use formula-

10!4!3!2!1!=10脳9脳8脳7脳6脳5脳4!4!3!2!1!=10脳9脳8脳7脳6脳53脳2脳2=12,600

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