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A producer must select a duo, consisting of one lead actor

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A producer must select a duo, consisting of one lead actor [#permalink] New post 27 Sep 2017, 14:16
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A producer must select a duo, consisting of one lead actor and one supporting actor, from six candidates. What is the number of possible duos the producer could select?

enter your value

[Reveal] Spoiler: OA
30

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Re: A producer must select a duo, consisting of one lead actor [#permalink] New post 27 Sep 2017, 22:07
Carcass wrote:
A producer must select a duo, consisting of one lead actor and one supporting actor, from six candidates. What is the number of possible duos the producer could select?

enter your value

[Reveal] Spoiler: OA
30



Here it has asked for specific actors so we use the permutation formula \(\frac{n!}{(n-r)!}\)


\(\frac{6!}{(6-2)!}\)= 6x5 = 30
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Re: A producer must select a duo, consisting of one lead actor [#permalink] New post 27 Apr 2018, 11:27
can someone please explain when to use permutation or combination methods?thanks in advance.
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Re: A producer must select a duo, consisting of one lead actor [#permalink] New post 27 Apr 2018, 23:38
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Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter).

If you have to choose among 5 pizzas of a menu, two of them and it is a combination (which one you choose is irrelevant ) then you do have \(\frac{5*4*3*2*1}{2*1*3*2*1}\).

Permutation the order matters. If you have to choose margherita as first choice and pepperoni as a second choice then you do have : \(5*4\)

Hope it helps

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Re: A producer must select a duo, consisting of one lead actor   [#permalink] 27 Apr 2018, 23:38
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A producer must select a duo, consisting of one lead actor

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