the kentucky lottery is worth $100,000. to win you have to select the 5 winning numbers from 1-50. how many different combinations are possible?

- anonymous

- schrodinger

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- lgbasallote

i believe the formula would be \[\large \frac{50!}{5! 45!}\] feel free to correct me though @apoorvk

- anonymous

where did you get the 45?

- lgbasallote

50 - 5 i believe

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- ParthKohli

Yes, it'd be 50c5
\(\Large \color{purple}{ 50! \over (50 - 5)!*5! }\)

- ParthKohli

Get it?

- amorfide

|dw:1337518895638:dw|

- ParthKohli

nCr is represented as:
\(\Large \color{purple}{ {n! \over (n - r)!*r!} }\)

- amorfide

n= the amount of numbers =50
r= the numbers you want so 5
50!/(50-5)!5!

- apoorvk

no @lgbasallote I won't need to correct you.
For choosing 'r' things out 'n', (arrangement not being considered), no. of possible combinations 'N':
\[\large N = ^nC_r = \frac{n!}{r!(n-r)!}\]

- lgbasallote

heh i cant believe i got the formula right..i only context clues-ed from amistre's work earlier \m/

- ParthKohli

If you have to choose 5 numbers from 50, then it'll be 50 choose 5 aka 50c5

- lgbasallote

can you go from there now @catgirl17

- ParthKohli

Considering that you know what factorials are lolz

- amorfide

oh god please know what factorials are...

- lgbasallote

it's gonna be a long post slash night if fno

- ParthKohli

\(\Large \color{purple}{ n! = n * (n - 1) * (n - 2) * (n - 3) ........1 }\)

- anonymous

after 50!/45!x5! do i just expand it out

- ParthKohli

Just having some fun

- lgbasallote

yes you do @catgirl17

- ParthKohli

And then you cancel to make it simpler.

- lgbasallote

and if i were you get rid of x...you might mistake it for a variable

- anonymous

thank you @lgbasallote

- ParthKohli

Use * instead of x lol

- lgbasallote

\[\huge \color{maroon}{\mathtt{\text{}}}\]

- ParthKohli

* doesn't only represent the thing that twinkles. lol

- lgbasallote

or use ( )( ) yeah...they're more subtle

- ParthKohli

\(\Large \color{purple}{\mathbb{Still} \text{ doesn't get the medal. xP} }\)

- anonymous

when expanding the 50! out do i have to go all the way to 5! ?

- amorfide

50! =50x49x48x47......x1

- ParthKohli

wait wait... n! OVER r! = (n - r)!

- amorfide

50!/45!
cancels out to
50x49x48x47x46
divide that by 5!

- lgbasallote

just until 45! it will cancel out anyway... \[\large \frac{50! 49! 48! 47! 46! 45!}{45! 5!}\] see? 45! will just cancel out

- amorfide

why have you got all those factorials on top?!

- ParthKohli

Are you kdding me? 50! is not 50! * 49!........

- lgbasallote

fine get rid of the ! :P

- amorfide

|dw:1337519562320:dw|

- lgbasallote

i just context clues-ed this topic sheesh

- anonymous

is the answer 50,850,240

- ParthKohli

n!
What it really is ----> n * (n - 1) * (n - 2).......*1
What I think it is -------> n!!!!!!!!!!!!!!!!!!!

- lgbasallote

\[\large \frac{50 \times 49 \times 48 \times 47 \times 46 \times 45!}{45!5!}\] 45! cancels out

- anonymous

okay that's what i did

- amorfide

do it as a fraction on your scientific calculator

- amorfide

i get 2118760

- ParthKohli

\(\Large \color{purple} {{50 * 49 * 48 * 47 * 46 \over 5 * 4 * 3 * 2 } }\)

- ParthKohli

You need a calculator for this?!?!

- amorfide

i dont need one it is just quicker :P

- lgbasallote

2118760 it is

- ParthKohli

\(\Large \color{purple}{\mathbb{C}\mathbb{A}LCULATOR }\)
FAIL.

- anonymous

how did ya'll get that answer cause im not getting that.

- amorfide

catgirl what are you putting into your calculator, tell us exactly

- anonymous

50x49x48x47x46/5

- amorfide

no it is not 5 it is 5!

- amorfide

5!=5x4x3x2x1

- ParthKohli

Lol no! The denominator would be 5 * 4 * 3 * 2

- anonymous

would someone just show me how you got your answer and all the steps to get there, please.

- ParthKohli

Just read all the replies again. You'll get what we did

- amorfide

|dw:1337520226834:dw|

- amorfide

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!/(n-r)!r!
sub in

- amorfide

! means it is a factorial and a factorial is the number multiplied by every number before it

Looking for something else?

Not the answer you are looking for? Search for more explanations.