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

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Founder
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A producer must select a duo, consisting of one lead actor [#permalink]  27 Sep 2017, 14:16
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Question Stats:

82% (00:34) correct 17% (00:47) wrong based on 29 sessions

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?

[Reveal] Spoiler: OA
30

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VP
Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Kudos [?]: 1308 [0], given: 251

Re: A producer must select a duo, consisting of one lead actor [#permalink]  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?

[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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Intern
Joined: 28 Mar 2018
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Kudos [?]: 4 [0], given: 11

Re: A producer must select a duo, consisting of one lead actor [#permalink]  27 Apr 2018, 11:27
can someone please explain when to use permutation or combination methods?thanks in advance.
Founder
Joined: 18 Apr 2015
Posts: 13310
Followers: 286

Kudos [?]: 3372 [1] , given: 12174

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