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When cleaning her house, Carlotta discovered an old box of candles and
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Bunuel
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When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  23 Mar 2020, 06:09
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When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to display the items on a shelf. How many different ways can she place the items in a row on the shelf if she alternates between candles and figurines?


(1) If only the figurines were lined up, 40,320 different arrangements would be possible.
(2) Carlotta has one more candle than figurine.
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SanjaySrini
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When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  Updated on: 29 Jul 2020, 19:22
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The answer is C.

Statement 1:- Tells us that the number of ways figurines can be arranged is 40320, which means that x! is 40320 so she has 8 figurines. We still have no info on the candles.

Statement 2:- It gives us relation between no of candles and figurines, still not sufficient.

Combining both we know that there are 8 figurines and 9 candles so the problem can be solved.

Kudos if helpful. :)

Originally posted by SanjaySrini on 22 Apr 2020, 05:59.
Last edited by SanjaySrini on 29 Jul 2020, 19:22, edited 2 times in total.
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anupam87
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  26 Mar 2020, 05:48
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IMHO C.
St1 - we can get the counts of figurines, but we do not know the counts of candles. -> Not sufficient.
St2 - Does not provide any count.

(1) + (2) - Sufficient.
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funkyakki
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  16 May 2020, 21:16
Hello, I would like to know whether its assumed in DS options that we can find out the number for which its factorial is given when considering a statement.
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prakhar992
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  28 May 2020, 05:34
Bunuel wrote:
When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to display the items on a shelf. How many different ways can she place the items in a row on the shelf if she alternates between candles and figurines?


(1) If only the figurines were lined up, 40,320 different arrangements would be possible.
(2) Carlotta has one more candle than figurine.



How this question is even correct. Option 2 more candles than fig..
Suppose there are 12 candles and she selects 9 out of 12 and then arrange alternatively.
Bunuel please tell me where I am wrong.
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karan12345
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  02 Jun 2020, 01:38
prakhar992 wrote:
Bunuel wrote:
When cleaning her house, Carlotta discovered an old box of candles and figurines, each of which is unique. She wants to display the items on a shelf. How many different ways can she place the items in a row on the shelf if she alternates between candles and figurines?


(1) If only the figurines were lined up, 40,320 different arrangements would be possible.
(2) Carlotta has one more candle than figurine.



How this question is even correct. Option 2 more candles than fig..
Suppose there are 12 candles and she selects 9 out of 12 and then arrange alternatively.
Bunuel please tell me where I am wrong.


Hi prakhar992,
it is mentioned for the total candles she has more than the figurines

So,the candles are 9
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Rtejpar
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink] New post  25 Sep 2021, 16:48
Hi all,
Just looking at this question, the one thing that gets me is that it is not clear that all the figurines or all the candles will be put up on the shelf.
It is possible that she only has space for x number of either figurines or candles, so there can be multiple solutions for even figuring out the number of figurines from part I, no?
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Re: When cleaning her house, Carlotta discovered an old box of candles and [#permalink]
25 Sep 2021, 16:48
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