anonymous
  • anonymous
In how many ways can 2 singers be selected from 10 who came to audition?
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
10 for the first spot, and 9 left for the second spot = 10*9, or 10P2
anonymous
  • anonymous
45
anonymous
  • anonymous
or 10 "nCr" 2 = 45

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amistre64
  • amistre64
good idea, wrong application i believe
amistre64
  • amistre64
this isnt a nCr, its an nPr
anonymous
  • anonymous
i don't understand how it's not 90, because that's what i did to. how do I knew when i can and cannot use that process amistre did?
anonymous
  • anonymous
know*
amistre64
  • amistre64
whenever you have to pick from a number of applicants, its P for "pick" in my eyes
amistre64
  • amistre64
whenever the order doesnt matter, then its groups that count. nCr for groupings
amistre64
  • amistre64
10 Pick 2 = 10P2 = 10*9 = 90
anonymous
  • anonymous
This should be \(\binom{10}{2} = 45 \)
anonymous
  • anonymous
Fair enough, I've never had to use P... Whenever I've done this in stats (ie with Binomial distribution) it's been nCr...
anonymous
  • anonymous
How does the order matter in this, isn't it just saying 2 singers?
amistre64
  • amistre64
i could be wrong, depends on how you interpret the question
amistre64
  • amistre64
if you have 2 people that are auditioning; then you need to pick 1 for the 1st and 1 for the 2nd
anonymous
  • anonymous
the answer is 45 i know that for sure, just trying to understand
amistre64
  • amistre64
joe then sally is a different order than sally then joe
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
No, as there are many different ways of picking 2 people from a bag of 10, which is different from picking 10 from a bag of 2...
anonymous
  • anonymous
amistre, >>In how many ways can 2 singers be selected from 10 who came to audition? "selected" is the keyword here.
amistre64
  • amistre64
i can see that interpretation as well :)
anonymous
  • anonymous
But unfortunately 10P2 doesn't seem to be the correct interpretation here. :(
amistre64
  • amistre64
right, then if it aint 90, go 45 ;)
anonymous
  • anonymous
how do i put this into a calculator? its not 10!2 is it because that doesn't work
amistre64
  • amistre64
10P2/2!
anonymous
  • anonymous
the button that looks like nCr you would type 10 'nCr' 2
amistre64
  • amistre64
sooo 10!/2!(10-2)! perhaps?
anonymous
  • anonymous
which gives you an answer of 45.
anonymous
  • anonymous
or the factorial method, yes!
amistre64
  • amistre64
10*9*8*7*6*5*4*3*2 ------------------ 8*7*6*5*4*3*2*2
anonymous
  • anonymous
sorry i totally forgot how to do this. when i click permutations it puts in nPr() on the screen. where do i put the 10 and 2? and why is it 10 and 2 instead of 2 then 10?
anonymous
  • anonymous
It is 10C2 because 10 (n) is the number of values and 2 (c) is the number you are choosing.
anonymous
  • anonymous
I don't know how you would do it in that format, you know your calculator best.
anonymous
  • anonymous
so its combination or permutation?
anonymous
  • anonymous
ok its a combination because the order does not matter. i did this and got 45.
anonymous
  • anonymous
That's right.

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