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catgirl17
Group Title
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?
 2 years ago
 2 years ago
catgirl17 Group Title
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?
 2 years ago
 2 years ago

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lgbasallote Group TitleBest 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
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
where did you get the 45?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
50  5 i believe
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Yes, it'd be 50c5 \(\Large \color{purple}{ 50! \over (50  5)!*5! }\)
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
dw:1337518895638:dw
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
nCr is represented as: \(\Large \color{purple}{ {n! \over (n  r)!*r!} }\)
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
n= the amount of numbers =50 r= the numbers you want so 5 50!/(505)!5!
 2 years ago

apoorvk Group TitleBest 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': \[\large N = ^nC_r = \frac{n!}{r!(nr)!}\]
 2 years ago

lgbasallote Group TitleBest 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/
 2 years ago

ParthKohli Group TitleBest 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
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
can you go from there now @catgirl17
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Considering that you know what factorials are lolz
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
oh god please know what factorials are...
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
it's gonna be a long post slash night if fno
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{ n! = n * (n  1) * (n  2) * (n  3) ........1 }\)
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
after 50!/45!x5! do i just expand it out
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Just having some fun
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
yes you do @catgirl17
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
And then you cancel to make it simpler.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
and if i were you get rid of x...you might mistake it for a variable
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
thank you @lgbasallote
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Use * instead of x lol
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
\[\huge \color{maroon}{\mathtt{\text{<tips hat>}}}\]
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
* doesn't only represent the thing that twinkles. lol
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
or use ( )( ) yeah...they're more subtle
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{\mathbb{Still} \text{ doesn't get the medal. xP} }\)
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
when expanding the 50! out do i have to go all the way to 5! ?
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
50! =50x49x48x47......x1
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
wait wait... n! OVER r! = (n  r)!
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
50!/45! cancels out to 50x49x48x47x46 divide that by 5!
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
why have you got all those factorials on top?!
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Are you kdding me? 50! is not 50! * 49!........
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
fine get rid of the ! :P
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
dw:1337519562320:dw
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
i just context cluesed this topic sheesh
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
is the answer 50,850,240
 2 years ago

ParthKohli Group TitleBest 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!!!!!!!!!!!!!!!!!!!
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
okay that's what i did
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
do it as a fraction on your scientific calculator
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
i get 2118760
 2 years ago

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

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
You need a calculator for this?!?!
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
i dont need one it is just quicker :P
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
2118760 it is
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
\(\Large \color{purple}{\mathbb{C}\mathbb{A}LCULATOR }\) FAIL.
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
how did ya'll get that answer cause im not getting that.
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
catgirl what are you putting into your calculator, tell us exactly
 2 years ago

catgirl17 Group TitleBest ResponseYou've already chosen the best response.0
50x49x48x47x46/5
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
no it is not 5 it is 5!
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
5!=5x4x3x2x1
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Lol no! The denominator would be 5 * 4 * 3 * 2
 2 years ago

catgirl17 Group TitleBest 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.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Just read all the replies again. You'll get what we did
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.2
dw:1337520226834:dw
 2 years ago

amorfide Group TitleBest 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
 2 years ago

amorfide Group TitleBest 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
 2 years ago
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