Question

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?

Answer 1

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

Answer 2

where did you get the 45?

Answer 3

50 - 5 i believe

Answer 4

Yes, it'd be 50c5

\(\Large \color{purple}{ 50! \over (50 - 5)!*5! }\)

Answer 5

Get it?

Answer 6

nCr is represented as:


\(\Large \color{purple}{ {n! \over (n - r)!*r!} }\)

Answer 7

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

Answer 8

no @lgbasallote I won't need to correct you.

For choosing 'r' things out 'n', (arrangement not being considered), no. of possible combinations 'N':
\[\large N = ^nC_r = \frac{n!}{r!(n-r)!}\]

Answer 9

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

Answer 10

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

Answer 11

can you go from there now @catgirl17

Answer 12

Considering that you know what factorials are lolz

Answer 13

oh god please know what factorials are...

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

Just having some fun

Answer 18

yes you do @catgirl17

Answer 19

And then you cancel to make it simpler.

Answer 20

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

Answer 21

thank you @lgbasallote

Answer 22

Use * instead of x lol

Answer 23

\[\huge \color{maroon}{\mathtt{\text{<tips hat>}}}\]

Answer 24

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

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

why have you got all those factorials on top?!

Answer 33

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

Answer 34

fine get rid of the ! :P