Homework Help is Here – Start Your Trial Now!
Math
Probability
Three molecules of type A, three of type B, three of type C, and three of type D are to be linked together to form a chain molecule. One such chain molecule is ABCDABCDABCD, and another is BCDDAAABDBCC. (a) How many such chain molecules are there? [Hint: If the three A's were distinguishable from one another-A₁, A₂, A3- and the B's, C's, and D's were also, how many molecules would there be? How is this number reduced when the subscripts are removed from the A's?] chain molecules (b) Suppose a chain molecule of the type described is randomly selected. What is the probability that all three molecules of each type end up next to one another (such as in BBBAAADDDCCC)? (Round your answer to eight decimal places.)

Three molecules of type A, three of type B, three of type C, and three of type D are to be linked together to form a chain molecule. One such chain molecule is ABCDABCDABCD, and another is BCDDAAABDBCC. (a) How many such chain molecules are there? [Hint: If the three A's were distinguishable from one another-A₁, A₂, A3- and the B's, C's, and D's were also, how many molecules would there be? How is this number reduced when the subscripts are removed from the A's?] chain molecules (b) Suppose a chain molecule of the type described is randomly selected. What is the probability that all three molecules of each type end up next to one another (such as in BBBAAADDDCCC)? (Round your answer to eight decimal places.)

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...
See similar textbooks
icon
Related questions
Question

please help me solving the question a) and b).

Three molecules of type A, three of type B, three of type C, and three of type D are to be linked together to form a chain molecule. One such chain molecule is ABCDABCDABCD, and another is BCDDAAABDBCC. (a) How many such chain molecules are there? [Hint: If the three A's were distinguishable from one another-A₁, A₂, A3- and the B's, C's, and D's were also, how many molecules would there be? How is this number reduced when the subscripts are removed from the A's?] chain molecules (b) Suppose a chain molecule of the type described is randomly selected. What is the probability that all three molecules of each type end up next to one another (such as in BBBAAADDDCCC)? (Round your answer to eight decimal places.)
Transcribed Image Text:Three molecules of type A, three of type B, three of type C, and three of type D are to be linked together to form a chain molecule. One such chain molecule is ABCDABCDABCD, and another is BCDDAAABDBCC. (a) How many such chain molecules are there? [Hint: If the three A's were distinguishable from one another-A₁, A₂, A3- and the B's, C's, and D's were also, how many molecules would there be? How is this number reduced when the subscripts are removed from the A's?] chain molecules (b) Suppose a chain molecule of the type described is randomly selected. What is the probability that all three molecules of each type end up next to one another (such as in BBBAAADDDCCC)? (Round your answer to eight decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer