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 one year ago
what is the probability that your five number combination will be the winning combination in a lottery that involves the selection of random numbers from 1 through 20? the order of the five numbers is irrelevant.
 one year ago
what is the probability that your five number combination will be the winning combination in a lottery that involves the selection of random numbers from 1 through 20? the order of the five numbers is irrelevant.

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wio
 one year ago
Best ResponseYou've already chosen the best response.1When order matters, the total number of tickets (sample space) is \(20^5\) We can remove order by dividing out the number of permutations from the sample space. The \(5\) numbers can be permuted \(5!\) ways. Thus I ways say the probability is: \[ \frac {5!}{20^5} \]

mameadows
 one year ago
Best ResponseYou've already chosen the best response.0@wio can I leave my answer like that or do I have to actually multiply them out?

wio
 one year ago
Best ResponseYou've already chosen the best response.1You should multiply them out.

wio
 one year ago
Best ResponseYou've already chosen the best response.1\[ 5!=5\times4\times3\times2\times 1=20\times 3\times 2 \]

wio
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{20\times 3\times 2}{ 20^5} = \frac{3\times 2}{20^4} = \frac{3}{10^4\times 2^3} \]At this point you may just want to use a calculator.

mameadows
 one year ago
Best ResponseYou've already chosen the best response.0this is what i thought it was: 20*19*18*17*16*15! / 15! * 5*4*3*2*1 = 1,860,480 / 120 = 15,504... you can only get one winning ticket so... 1 / 15,504 is that wrong?

wio
 one year ago
Best ResponseYou've already chosen the best response.1I don't understand the reasoning behind that so I can't tell you what is wrong with it.

mameadows
 one year ago
Best ResponseYou've already chosen the best response.0total no:(120)=29 use combination ,u have to select only 5 no's total no of ways=20 C 5 =20! / (15! * 5!) =20*19*18*17*16*15! / (15! * 5*4*3*2*1) =15,504 since only one will be correct out of these ways therefore answer is 1/15,504

mameadows
 one year ago
Best ResponseYou've already chosen the best response.0I meant to put (120)=20! at the top

wio
 one year ago
Best ResponseYou've already chosen the best response.1Well, the reason we use \(20^5\) instead of \(20!/15!\) is because it didn't say we can't have repeated numbers.

wio
 one year ago
Best ResponseYou've already chosen the best response.1It didn't say we can't chose something like 1 1 1 1 1
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