anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
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?
jim_thompson5910
  • jim_thompson5910
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
anonymous
  • anonymous
Doesn't specify, but i'm guessing 2 and 2

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jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
The combination formula is \[\Large _n C _r = \frac{n!}{r!*(n-r)!}\]
anonymous
  • anonymous
1,260 is what I came up with
jim_thompson5910
  • jim_thompson5910
I'm getting 1,260 as well if you go with the 2 guys, 2 girls option
ganeshie8
  • ganeshie8
@ikileyxx I think if it doesn't specify explicitly, it is better to go with just "4 persons"
jim_thompson5910
  • jim_thompson5910
ganeshie8 may be right
anonymous
  • anonymous
So 3,060 if "4 persons" correct?
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
What if they only want males to participate in the episode? Then how many different combinations of contestants can be made from these actors?
jim_thompson5910
  • jim_thompson5910
Then you will compute 8 C 4
jim_thompson5910
  • jim_thompson5910
since there are 4 slots to fill from a pool of 8 guys
anonymous
  • anonymous
thanks so much, big help
jim_thompson5910
  • jim_thompson5910
glad to be of help

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