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 2 years 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?
 2 years 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?

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

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

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

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

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

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

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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1If you have to choose 5 numbers from 50, then it'll be 50 choose 5 aka 50c5

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.250! =50x49x48x47......x1

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

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.250!/45! cancels out to 50x49x48x47x46 divide that by 5!

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

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

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

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

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

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

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

lgbasallote
 2 years ago
Best 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

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

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

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

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

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

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

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

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

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

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

catgirl17
 2 years ago
Best ResponseYou've already chosen the best response.0would someone just show me how you got your answer and all the steps to get there, please.

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

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.2n=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

amorfide
 2 years ago
Best 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
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