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LivForMusic

  • 2 years ago

Alice, Bob, Chris, Don, Ed, Frank, Gary, Hank, Irene, Jack, Ken, Lane, Mary, Nancy, Olivia, Pete, Quinn, Ron, Steve, and Tony are candidates in an election to be corporate officers (President, Vice President, and Treasurer.) How many outcomes can the election have with either Alice or Bob as Vice President?

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  1. LivForMusic
    • 2 years ago
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    @RadEn

  2. tacosRterrific
    • 2 years ago
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    I think it is 1140 http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html

  3. LivForMusic
    • 2 years ago
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    @TashaMeni7 did u use combinations or permutations? and what was ur formula? ex. 20P2

  4. RadEn
    • 2 years ago
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    2*19*18

  5. LivForMusic
    • 2 years ago
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    @RadEn is that using combination or permutation?

  6. RadEn
    • 2 years ago
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    i have used filling slot method : |dw:1355778021103:dw|

  7. RadEn
    • 2 years ago
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    got it ?

  8. LivForMusic
    • 2 years ago
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    @RadEn sorry my laptop overheated, and no not really. is there any way to do this using permutations?

  9. LivForMusic
    • 2 years ago
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    would it be 19P2 + 18P2 which would be 648?

  10. RadEn
    • 2 years ago
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    it similar by permutation, but i think we have to divide it to 2 case, case I : Alice be a president, so the rest is 19P2 case II : Bob be a president, so the rest is 19P2 so, total ways = 2 * 19P2

  11. RadEn
    • 2 years ago
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    i meant be a vice president :) for alice or bob

  12. LivForMusic
    • 2 years ago
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    ok yeah that makes sense since it doesnt say one cant be another officer while the other is vice president if that makes sense

  13. RadEn
    • 2 years ago
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    ok, is it cleared

  14. RadEn
    • 2 years ago
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    actually, i will use filling slot method for this case because easier :)

  15. RadEn
    • 2 years ago
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    but by permutation work too

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