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# Carly has three movies that she can watch during the weekend: an actio

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
Carly has three movies that she can watch during the weekend: an actio  [#permalink]

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25 Dec 2017, 11:48
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:22) correct 39% (01:53) wrong based on 52 sessions

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Carly has three movies that she can watch during the weekend: an action movie, a comedy, or a drama. However, she wants to watch the same drama movie three times, an action movie once and a comedy movie also once. In how many different ways can she arrange these five screenings?

A. 6
B. 20
C. 24
D. 60
E. 120

M05-27

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
Re: Carly has three movies that she can watch during the weekend: an actio  [#permalink]

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25 Dec 2017, 11:50
Bunuel wrote:
Carly has three movies that she can watch during the weekend: an action movie, a comedy, or a drama. However, she wants to watch the same drama movie three times, an action movie once and a comedy movie also once. In how many different ways can she arrange these five screenings?

A. 6
B. 20
C. 24
D. 60
E. 120

M05-27

The number of different ways Carly can watch Drama, Drama, Drama, Action, Comedy (DDDAC) is basically the number of arrangements of 5 letters DDDAC out of which 3 D's are identical, so it's $$\frac{5!}{3!}=20$$.

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Re: Carly has three movies that she can watch during the weekend: an actio &nbs [#permalink] 25 Dec 2017, 11:50
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