Q1 In the design of an electromechanical product, seven different components are

Question

Q1 In the design of an electromechanical product, seven different components are to be stacked into a cylindrical casing that holds 12 components 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. How many different designs are possible? b. Is the seven components are all identical, how many different designs are possible? c. If the seven components consist of three of one type of component and four of another type, how many different designs are possible? 01) Disks of polycarbonate plastic from a supplier are an alyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low high low 70 16 scratch resistance (a) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high? (b) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high? (c) Consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance. Are these two events mutually exclusive?

Explanation / Answer

The answer to the question is as follows: -

a) Different designs possible: - 12!=479,001,600 designs are possible

b) 12!/7!1!1!1!1!1!=95040 designs possible

c) 12!3!4!=3326400 designs possible

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