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anonymous

  • one year ago

How many groups of four shirts can you choose from six shirts? Determine if the word problem is a permutation or a combination, then evaluate. Which question below is a permutation? How many different teams of four runners can a coach choose from a group of seven runners? You and three friends want to line up next to one another for a picture. How many ways can the picture be taken? You want to choose three pairs of shorts from five to go on vacation. How many groups of three pairs of shorts can you choose? How many groups of five movies can be chosen from 11?

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  1. anonymous
    • one year ago
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    @isaac4321

  2. welshfella
    • one year ago
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    combinations of 4 from 6 = 6C2

  3. anonymous
    • one year ago
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    ?

  4. welshfella
    • one year ago
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    have you seen that notation before 6C2?

  5. welshfella
    • one year ago
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    - thats the answer to the first question about shirts

  6. welshfella
    • one year ago
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    6C2 is equivalent to 6C4

  7. anonymous
    • one year ago
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    \[_{n}C _{r} = \frac{ n! }{ r!\left( n-r \right)! }\]\[_{6}C _{2} = \frac{ 6! }{ 2!\left( 4! \right) }\]

  8. anonymous
    • one year ago
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    its asking for a number not a 6C2 lol im confused

  9. welshfella
    • one year ago
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    yes osprey has the formula a short way of working it out is 6*5 --- 2*1

  10. welshfella
    • one year ago
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    - starting with 6 then going down to 5 because of the 2 6C4 = 6*5*4*3 ------ 4*3*2*1 which works out to the same value

  11. welshfella
    • one year ago
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    6C2 means the number of combinations of 2 from 6

  12. welshfella
    • one year ago
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    so for the first part its 6*5 / 2*1 = 15

  13. anonymous
    • one year ago
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    ohhh

  14. anonymous
    • one year ago
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    thank you

  15. welshfella
    • one year ago
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    yw The difference between combinations and permutations is that the order does not matter in combinations. The groups of 4 shirts can be in any order.

  16. welshfella
    • one year ago
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    Now for the second part there is one in which the order matters which do you think it is?

  17. anonymous
    • one year ago
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    is d correct for 2

  18. welshfella
    • one year ago
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    No - in which one do you have a different result if there is a different arrangement?

  19. welshfella
    • one year ago
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    Hint: Click

  20. anonymous
    • one year ago
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    b

  21. welshfella
    • one year ago
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    lol yes

  22. welshfella
    • one year ago
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    different arrangement - different picture

  23. anonymous
    • one year ago
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    thanx

  24. welshfella
    • one year ago
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    get it now? i think you do yw

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