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Wolfboy

  • 3 years ago

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

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  1. A.Avinash_Goutham
    • 3 years ago
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    8p3

  2. CliffSedge
    • 3 years ago
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    8c3 if order doesn't matter.

  3. CliffSedge
    • 3 years ago
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    Are you familiar with Pascal's Triange?

  4. Wolfboy
    • 3 years ago
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    uh not realy

  5. A.Avinash_Goutham
    • 3 years ago
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    u kno wat 8p3 is?

  6. Wolfboy
    • 3 years ago
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    not exactly

  7. CliffSedge
    • 3 years ago
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    I'm pretty sure this is a combination and not a permutation.

  8. A.Avinash_Goutham
    • 3 years ago
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    yup that's a combination nd it's 8c3

  9. CliffSedge
    • 3 years ago
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    Can use either Pascal's Triangle or the formula with factorials. For n=8, probably better off using the formula.

  10. CliffSedge
    • 3 years ago
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    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.

  11. Wolfboy
    • 3 years ago
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    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.

  12. CliffSedge
    • 3 years ago
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    A quick drawing of Pascal's Triangle shows it's 56, and 8!(3!(8-3)!) = the same.

  13. CliffSedge
    • 3 years ago
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    Do you know how to write out a factorial?

  14. Wolfboy
    • 3 years ago
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    uh i probably do but dont remember can you show me again?

  15. CliffSedge
    • 3 years ago
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    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.

  16. CliffSedge
    • 3 years ago
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    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

  17. Wolfboy
    • 3 years ago
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    Thanks for all of your help @CliffSedge

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