A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 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?
anonymous
 4 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?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i believe the formula would be \[\large \frac{50!}{5! 45!}\] feel free to correct me though @apoorvk

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

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

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

amorfide
 4 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!

anonymous
 4 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': \[\large N = ^nC_r = \frac{n!}{r!(nr)!}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0heh i cant believe i got the formula right..i only context cluesed from amistre's work earlier \m/

ParthKohli
 4 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you go from there now @catgirl17

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it's gonna be a long post slash night if fno

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

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes you do @catgirl17

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and if i were you get rid of x...you might mistake it for a variable

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\huge \color{maroon}{\mathtt{\text{<tips hat>}}}\]

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0or use ( )( ) yeah...they're more subtle

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

anonymous
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.250! =50x49x48x47......x1

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0just until 45! it will cancel out anyway... \[\large \frac{50! 49! 48! 47! 46! 45!}{45! 5!}\] see? 45! will just cancel out

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

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0fine get rid of the ! :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i just context cluesed this topic sheesh

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

ParthKohli
 4 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!!!!!!!!!!!!!!!!!!!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large \frac{50 \times 49 \times 48 \times 47 \times 46 \times 45!}{45!5!}\] 45! cancels out

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

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

ParthKohli
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.1You need a calculator for this?!?!

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

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

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

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

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

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

anonymous
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.1Just read all the replies again. You'll get what we did

amorfide
 4 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
 4 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
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.