Carly has 3 movies that she can watch during the weekend: 1

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Carly has 3 movies that she can watch during the weekend: 1 [#permalink]

28 Oct 2006, 09:24

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Carly has 3 movies that she can watch during the weekend: 1 Action, 1 Comedy, and 1 Drama. However she needs to watch the Drama 3 times. Assuming Carly has time for 5 movies and intends to watch all of them, in how many ways can she do so?

1) 6
2) 20
3) 24
4) 60
5) 120

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28 Oct 2006, 09:28

i would go for e. 120. but permutation and combination are my weak poitn so don't know if i'm correct.

got 120 by 5!

now someone give us the right answer

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28 Oct 2006, 09:37

2) 20

Think of it as the word DDDCA, the number of ways of rearranging this is 5!/3!, where 5 is the total number and 3 is the number of repeating characters.

or

Ways of selecting 3 out of 5, 5C3 = 5!/3!2! = 10, then 2 ways of arranging the other 2, 10*2 = 20

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19 Dec 2007, 14:09

Since Carly has to watch the drama 3 seperate times, you can really consider it 3 different movies. 5!/3!=20.

[#permalink] 19 Dec 2007, 14:09

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Carly has 3 movies that she can watch during the weekend: 1

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Carly has 3 movies that she can watch during the weekend: 1

Carly has 3 movies that she can watch during the weekend: 1

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