|
Title: A certain system has two components. There are 10 different models of the first component... Post by: Stevbo on Jul 5, 2016 A certain system has two components. There are 10 different models of the first component and 10 different of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different systems can the salesman select? Place your answer in the blank. Do NOT use commas. For example, 2350 would be a legitimate response.
Title: Re: A certain system has two components. There are 10 different models of the first component... Post by: bio_man on Jul 5, 2016 C(10,2) * C(10,3)
= (10!)/(2!*(10-2)!) * (10!)/(3!*(10-3)!) = (10!)/(2!*8!) * (10!)/(3!*7!) = (10*9*8*7*6*5*4*3*2*1)/(2*1 * 8*7*6*5*4*3*2*1) * (10*9*8*7*6*5*4*3*2*1)/(3*2*1 * 7*6*5*4*3*2*1) = 5400 |