anonymous
  • anonymous
An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3 person committee be created if the committee must include the male employee?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
you need 2 female employees to make up the committee of 3. this = 5C2 - the number of combination of 2 in 5
anonymous
  • anonymous
y isnt it permutations? 4 x 3 x 1
welshfella
  • welshfella
can you calculate 5C2?

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anonymous
  • anonymous
yes it's 10 but how come it's not permutations i thought the order matters here
welshfella
  • welshfella
the order doesn't matter in this case
anonymous
  • anonymous
y
welshfella
  • welshfella
yes 5*4 /2 = 10 is correct
anonymous
  • anonymous
y doesn't the order matter?
welshfella
  • welshfella
well Jane , Lois and Jack are the same committee as Lois, Jane and Jack
anonymous
  • anonymous
huh
welshfella
  • welshfella
that-s a committee - 3 people the order they are picked doesn't matter
anonymous
  • anonymous
So you're saying that because the guy is gonna be in the committee anyway it doesn't matter?
welshfella
  • welshfella
is Jack, Lois and Jane a different committee to Lois Jane and Jack?
anonymous
  • anonymous
no
welshfella
  • welshfella
there you go then
anonymous
  • anonymous
still no clue
anonymous
  • anonymous
still think 4 x 3 x 1 is supposed to be right
welshfella
  • welshfella
why 4*3*1 ?
anonymous
  • anonymous
permutations no?
anonymous
  • anonymous
wait nvm i got it thanks
welshfella
  • welshfella
ok
welshfella
  • welshfella
you can write all the different combinations of 2 from 5 if you like - the man is always there so if the females are a,b,c,d and e then combinations are ab ac ad ae bc bd be cd ce de which are 10

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