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the kentucky lottery is worth $100,000. to win you have to select the 5 winning numbers from 150. how many different combinations are possible?
 one year ago
 one year ago
the kentucky lottery is worth $100,000. to win you have to select the 5 winning numbers from 150. how many different combinations are possible?
 one year ago
 one year ago

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lgbasalloteBest ResponseYou've already chosen the best response.1
i believe the formula would be \[\large \frac{50!}{5! 45!}\] feel free to correct me though @apoorvk
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
where did you get the 45?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Yes, it'd be 50c5 \(\Large \color{purple}{ 50! \over (50  5)!*5! }\)
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
dw:1337518895638:dw
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
nCr is represented as: \(\Large \color{purple}{ {n! \over (n  r)!*r!} }\)
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
n= the amount of numbers =50 r= the numbers you want so 5 50!/(505)!5!
 one year ago

apoorvkBest ResponseYou've already chosen the best response.0
no @lgbasallote I won't need to correct you. For choosing 'r' things out 'n', (arrangement not being considered), no. of possible combinations 'N': \[\large N = ^nC_r = \frac{n!}{r!(nr)!}\]
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
heh i cant believe i got the formula right..i only context cluesed from amistre's work earlier \m/
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
If you have to choose 5 numbers from 50, then it'll be 50 choose 5 aka 50c5
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
can you go from there now @catgirl17
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Considering that you know what factorials are lolz
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
oh god please know what factorials are...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
it's gonna be a long post slash night if fno
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{ n! = n * (n  1) * (n  2) * (n  3) ........1 }\)
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
after 50!/45!x5! do i just expand it out
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Just having some fun
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
yes you do @catgirl17
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
And then you cancel to make it simpler.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
and if i were you get rid of x...you might mistake it for a variable
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
thank you @lgbasallote
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Use * instead of x lol
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
\[\huge \color{maroon}{\mathtt{\text{<tips hat>}}}\]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
* doesn't only represent the thing that twinkles. lol
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
or use ( )( ) yeah...they're more subtle
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{\mathbb{Still} \text{ doesn't get the medal. xP} }\)
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
when expanding the 50! out do i have to go all the way to 5! ?
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
50! =50x49x48x47......x1
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
wait wait... n! OVER r! = (n  r)!
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
50!/45! cancels out to 50x49x48x47x46 divide that by 5!
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
just until 45! it will cancel out anyway... \[\large \frac{50! 49! 48! 47! 46! 45!}{45! 5!}\] see? 45! will just cancel out
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
why have you got all those factorials on top?!
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Are you kdding me? 50! is not 50! * 49!........
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
fine get rid of the ! :P
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
dw:1337519562320:dw
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
i just context cluesed this topic sheesh
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
is the answer 50,850,240
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
n! What it really is > n * (n  1) * (n  2).......*1 What I think it is > n!!!!!!!!!!!!!!!!!!!
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
\[\large \frac{50 \times 49 \times 48 \times 47 \times 46 \times 45!}{45!5!}\] 45! cancels out
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
okay that's what i did
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
do it as a fraction on your scientific calculator
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
\(\Large \color{purple} {{50 * 49 * 48 * 47 * 46 \over 5 * 4 * 3 * 2 } }\)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
You need a calculator for this?!?!
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
i dont need one it is just quicker :P
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{\mathbb{C}\mathbb{A}LCULATOR }\) FAIL.
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
how did ya'll get that answer cause im not getting that.
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
catgirl what are you putting into your calculator, tell us exactly
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
no it is not 5 it is 5!
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Lol no! The denominator would be 5 * 4 * 3 * 2
 one year ago

catgirl17Best ResponseYou've already chosen the best response.0
would someone just show me how you got your answer and all the steps to get there, please.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Just read all the replies again. You'll get what we did
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
dw:1337520226834:dw
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
n=50 because the over all amount of numbers you have are 50 numbers r=5 because you want a specific 5 from the 50 numbers you have combination means the order of numbers do not matter aslong as you have the numbers there they count as a combination (different to permutations) so the formula is n!/(nr)!r! sub in
 one year ago

amorfideBest ResponseYou've already chosen the best response.2
! means it is a factorial and a factorial is the number multiplied by every number before it
 one year ago
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