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Home Q & A Board Science-Related Homework Help Mathematics
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Stevbo Stevbo
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7 years ago
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.
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#1
Educator
7 years ago
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
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