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Mathematics 18 Online
OpenStudy (anonymous):

There are 30 people in student council that are running for the offices of president and vice president. In how many different ways can those offices be assigned

OpenStudy (anonymous):

two positions to fill : 1) President 2) Vice persident

OpenStudy (anonymous):

president can be chosen from 30 people in 30 ways after that, vice president can be chosen from remaining 29 people in 29 ways

OpenStudy (anonymous):

so.. total possible ways = 30 * 29

hartnn (hartnn):

from council of 30 students, 2 are to be chosen. "chose 2 from 30" "30 chose 2" \(\Large 30` C_2 \)

OpenStudy (anonymous):

\[_{30}P_2\]order matters

hartnn (hartnn):

yep, sorry, its 30 P 2

OpenStudy (anonymous):

30 x 29= ?

OpenStudy (anonymous):

so the answer is 870 ?

OpenStudy (anonymous):

yeu

hartnn (hartnn):

yes, thats correct :)

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

thanks that really helped

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