Wolfboy
  • Wolfboy
Aysha has 8 pictures to hang over her couch. She wants to hang only 3 of them. Find how many ways she can choose the 3 pictures from the 8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
8p3
anonymous
  • anonymous
8c3 if order doesn't matter.
anonymous
  • anonymous
Are you familiar with Pascal's Triange?

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Wolfboy
  • Wolfboy
uh not realy
anonymous
  • anonymous
u kno wat 8p3 is?
Wolfboy
  • Wolfboy
not exactly
anonymous
  • anonymous
I'm pretty sure this is a combination and not a permutation.
anonymous
  • anonymous
yup that's a combination nd it's 8c3
anonymous
  • anonymous
Can use either Pascal's Triangle or the formula with factorials. For n=8, probably better off using the formula.
anonymous
  • anonymous
nCx = n!/(x!(n-x)!) I think that's it. I'm just pulling it from memory, so I might have it mixed up with the other one, but it looks right.
Wolfboy
  • Wolfboy
ok so how do we use this to make our equation. And sorry for the slowness i went surfing yesterday and i am still really tiered.
anonymous
  • anonymous
A quick drawing of Pascal's Triangle shows it's 56, and 8!(3!(8-3)!) = the same.
anonymous
  • anonymous
Do you know how to write out a factorial?
Wolfboy
  • Wolfboy
uh i probably do but dont remember can you show me again?
anonymous
  • anonymous
While I do that, do an internet search for "Pascal's Triangle." - It's useful not only for combinations, but also for finding the coefficients of an expanded power of a binomial.
anonymous
  • anonymous
n! = n*(n-1)*(n-2)*...*1 e.g. 8! = 8*7*6*5*4*3*2*1 dividing factorials is easy because so many common factors cancel out. e.g. 8!/3! = 8*7*6*5*4
Wolfboy
  • Wolfboy
Thanks for all of your help @CliffSedge

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