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? 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)? c. 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?
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? 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)? c. 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:6.
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?
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)?
C.
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?
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