16. In the design of an electromechanical product, 12 components are to be stacked into acylindrical casing in a manner that minimizes the impact of shocks. One end of the casingis designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible?b. If seven components are identical to one another, but the others are different, how manydifferent designs are possible?c. If three components are of one type and identical to one another and four components areof another type and identical to one another, but the others are different, how manydifferent designs are possible?

16. In the design of an electromechanical product, 12 components are to be stacked into acylindrical casing in a manner that minimizes the impact of shocks. One end of the casingis designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible?b. If seven components are identical to one another, but the others are different, how manydifferent designs are possible?c. If three components are of one type and identical to one another and four components areof another type and identical to one another, but the others are different, how manydifferent designs are possible?

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Description: 16. In the design of an electromechanical product, 12 components are to be stacked into acylindrical casing in a manner that minimizes the impact of shocks. One end of the casingis designated as the bottom and the other end is the top. a. If all comp

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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16. In the design of an electromechanical product, 12 components are to be stacked into a
cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing
is designated as the bottom and the other end is the top.
a. If all components are different, how many different designs are possible?
b. If seven components are identical to one another, but the others are different, how many
different designs are possible?
c. If three components are of one type and identical to one another and four components are
of another type and identical to one another, but the others are different, how many
different designs are possible?

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