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Number of arrangements of the set \(\{a_1,a_2, \ldots, a_{10}\}\), so that \(a_1\) is always ranked above \(a_2\).
 one year ago
 one year ago
Number of arrangements of the set \(\{a_1,a_2, \ldots, a_{10}\}\), so that \(a_1\) is always ranked above \(a_2\).
 one year ago
 one year ago

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Ishaan94Best ResponseYou've already chosen the best response.0
@satellite73 @eliassaab
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
dunno i hate counting but if \(a_1\) is first then there are 9 choices for \(a_2\) if \(a_1\) is second there are 8, if \(a_1\) is third there are 7, so i guess we can use that
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
without thinking too hard i get an answer that could easily be wrong, namely \[9+8+7+6+5+4+3+2\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oops +1 at the end because \(a_1\) could be 9th leaving one possibility for \(a_2\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh crap that is all wrong
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
but idea is probably right. if \(a_1\) is first there are 9! arrangements
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
I think it could be 1(9+8+7+6+5+4+3+2+1)8!
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
if \(a_1\) is second there are 8 times 8! arrangements
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1340650357123:dw
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
so yeah, experimentX has it
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
experimentx's makes sense. and so does satellite's idea. Medal each other.
 one year ago

Ishaan94Best ResponseYou've already chosen the best response.0
experiemntx's answer*
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
that answer makes sense to me. i was totally wrong the first time, and didn't know that formula but now that i see it it is clear
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
well that solves it ;)
 one year ago
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