Question

esign of an electromechanical product, 10 components are to be stacked into a casing in a manner that minimizes the impact of shocks. One end of the casing al cylindric designated as the bottom and the other end is the top. . If all l components are different, how many different designs are possible? If five com one another and the rest are different, how many differen (2.0) ponents are of one type and identical to one another, and three components are of another type and identical to designs are possible? If all , and out of 10 components only seven must be selected then how many different designs are possible? (2.0 the components are identica and stacked into a cylindrical

Answer 1

a) Total number of components=10

Since all are different there selection and arrangements will effect the designs

So, total designs possible= ¹⁰P₁₀ = 3628800

b) 5 components are of one type

3 components are of second type

2 components are of third type

So total designs = 10!/(5!*3!*2!)= 2520

c)Since all are identical and only 7 need to be chosen from them

total design= ^₁₀C₇₌120