a- Five home appliances (A,B,C,D,E) need service calls, but the field technician

Question

a- Five home appliances (A,B,C,D,E) need service calls, but the field technician can service

only three of them before noon. The order in which they can be serviced is important (to the customers) so each possible arrangement of three service calls is different. The dispatcher must assign the sequence. The number of possible arrangements is

____________ (Solve this using an appropriate formula and the slot method)

b- using the sample space calculated above what is the probability that the service is offered to customer A first, B second and C third?

Explanation / Answer

a) as number of possible arrangements to slect 3 out of 5 home appliance if order is impotant =permut(5.3)=5!/2! =60

b) as this is one of 60 combinations.hence probability =1/60

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