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anonymous

  • one year ago

MEDAL!! -COMBINTATIONS AND PERMUTATIONS- There is a new game show on television, 'Know Your Partner.' The producers must pick 4 people to participate in the pilot episode, so they bring in 8 male actors and 10 female actors to interview to participate. How many different combinations of contestants can be made from these actors?

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  1. jim_thompson5910
    • one year ago
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    Do they care if they pick all guys? or all girls? or do they want it set up where they pick 2 guys and 2 girls?

  2. jim_thompson5910
    • one year ago
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    If you just want 4 people, out of a pool of 10+8 = 18, then you will need to compute 18 C 4 use the combination formula

  3. anonymous
    • one year ago
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    Doesn't specify, but i'm guessing 2 and 2

  4. jim_thompson5910
    • one year ago
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    or if you go with the 2 guys, 2 girls option, then you'll need to compute 8 C 2 and 10 C 2 then multiply those results

  5. jim_thompson5910
    • one year ago
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    The combination formula is \[\Large _n C _r = \frac{n!}{r!*(n-r)!}\]

  6. anonymous
    • one year ago
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    1,260 is what I came up with

  7. jim_thompson5910
    • one year ago
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    I'm getting 1,260 as well if you go with the 2 guys, 2 girls option

  8. ganeshie8
    • one year ago
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    @ikileyxx I think if it doesn't specify explicitly, it is better to go with just "4 persons"

  9. jim_thompson5910
    • one year ago
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    ganeshie8 may be right

  10. anonymous
    • one year ago
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    So 3,060 if "4 persons" correct?

  11. jim_thompson5910
    • one year ago
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    correct

  12. anonymous
    • one year ago
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    What if they only want males to participate in the episode? Then how many different combinations of contestants can be made from these actors?

  13. jim_thompson5910
    • one year ago
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    Then you will compute 8 C 4

  14. jim_thompson5910
    • one year ago
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    since there are 4 slots to fill from a pool of 8 guys

  15. anonymous
    • one year ago
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    thanks so much, big help

  16. jim_thompson5910
    • one year ago
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    glad to be of help

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