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Circular Permutation. Write LP for Linear Permutation, DP for Distinguishable permutation, and CP for Circular Permutation and solve. 1. Find the number of ways in which four persons can sit on six chairs. 6! 6 2 • 1 Solution: P(n, r) 2! n = r= 4 2. Find the number of words that can be formed out of the letters of the word COMMITTEE taken all at a time. Solution: There are letters in the given word in which two T's, two M's and two are identical. п! P ng!_!. ng! 9 •8. _•7•6• P = 21 121

Circular Permutation. Write LP for Linear Permutation, DP for Distinguishable permutation, and CP for Circular Permutation and solve. 1. Find the number of ways in which four persons can sit on six chairs. 6! 6 2 • 1 Solution: P(n, r) 2! n = r= 4 2. Find the number of words that can be formed out of the letters of the word COMMITTEE taken all at a time. Solution: There are letters in the given word in which two T's, two M's and two are identical. п! P ng!_!. ng! 9 •8. _•7•6• P = 21 121

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. How many possible arrangements can seven different colored horses be installed in a merry-go-round? Solution: n = P = (n – 1)! = (-- 1)! = 6! =_•5•
Transcribed Image Text:3. How many possible arrangements can seven different colored horses be installed in a merry-go-round? Solution: n = P = (n – 1)! = (-- 1)! = 6! =_•5•
Direction: Identify whether the given problem is of Linear, Distinguishable or Circular Permutation. Write LP for Linear Permutation, DP for Distinguishable permutation, and CP for Circular Permutation and solve. 1. Find the number of ways in which four persons can sit on six chairs. 6! 2 1 Solution: P(n, r) (n-)! 2! n = r= 4 2. Find the number of words that can be formed out of the letters of the word COMMITTEE taken all at a time. Solution: There are letters in the given word in which two T's, two M's and two are identical. n! P = n1!!.ng! 9 •8 •7•6• P = 2! _! 2!
Transcribed Image Text:Direction: Identify whether the given problem is of Linear, Distinguishable or Circular Permutation. Write LP for Linear Permutation, DP for Distinguishable permutation, and CP for Circular Permutation and solve. 1. Find the number of ways in which four persons can sit on six chairs. 6! 2 1 Solution: P(n, r) (n-)! 2! n = r= 4 2. Find the number of words that can be formed out of the letters of the word COMMITTEE taken all at a time. Solution: There are letters in the given word in which two T's, two M's and two are identical. n! P = n1!!.ng! 9 •8 •7•6• P = 2! _! 2!
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