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In how many ways can 4 rings be arranged in 5 finger?

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Senior Manager
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Joined: 17 Jun 2015
Posts: 259

Kudos [?]: 45 [0], given: 165

GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
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In how many ways can 4 rings be arranged in 5 finger? [#permalink]

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New post 17 Sep 2016, 03:05
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

31% (00:28) correct 69% (00:26) wrong based on 78 sessions

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In how many ways can 4 rings be arranged in 5 finger (no finger has more than 1 ring)?

A. 5C4
B. 5P4
C. (5C4)4!
D. B and C
E. Something else ( a non traditional GMAT option)

This is a self made question to understand the concept. Please excuse if the question is incorrect. I understand that this is probably sub 200 level question. Let me know your thoughts on my approach(in spoilers)

[Reveal] Spoiler:
My approach:

No. of ways of selecting 4 fingers from 5(considering a non-mutant) = 5C4.
No. of ways of arranging the 4 rings= 4!
Answer: 5C4.4!
[Reveal] Spoiler: OA

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Kudos [?]: 45 [0], given: 165

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In how many ways can 4 rings be arranged in 5 finger? [#permalink]

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New post 17 Sep 2016, 03:15
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hdwnkr wrote:
In how many ways can 4 rings be arranged in 5 finger (no finger has more than 1 ring)?

A. 5C4
B. 5P4
C. (5C4)4!
D. B and C
E. Something else ( a non traditional GMAT option)

This is a self made question to understand the concept. Please excuse if the question is incorrect. I understand that this is probably sub 200 level question. Let me know your thoughts on my approach(in spoilers)

[Reveal] Spoiler:
My approach:

No. of ways of selecting 4 fingers from 5(considering a non-mutant) = 5C4.
No. of ways of arranging the 4 rings= 4!
Answer: 5C4.4!


Your approach of solving this question is correct. There is no issue in it. Also, please note that 5C4 * 4! = 5P4. Hence, answer is B and C.
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Kudos [?]: 1063 [1], given: 74

Senior Manager
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Posts: 358

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Location: India
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In how many ways can 4 rings be arranged in 5 finger? [#permalink]

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New post 17 Sep 2016, 06:44
dash problem method
_ _ _ _ _
4 3 2 1 = 24
one will always be blank
so 24*5 = 120
hence 5c4 * 4!

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Re: In how many ways can 4 rings be arranged in 5 finger? [#permalink]

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New post 05 Jan 2018, 11:58
hdwnkr wrote:
In how many ways can 4 rings be arranged in 5 finger (no finger has more than 1 ring)?

A. 5C4
B. 5P4
C. (5C4)4!
D. B and C
E. Something else ( a non traditional GMAT option)

This is a self made question to understand the concept. Please excuse if the question is incorrect. I understand that this is probably sub 200 level question. Let me know your thoughts on my approach(in spoilers)

[Reveal] Spoiler:
My approach:

No. of ways of selecting 4 fingers from 5(considering a non-mutant) = 5C4.
No. of ways of arranging the 4 rings= 4!
Answer: 5C4.4!



first ring can be worn in 5 ways, 2nd ring can be worn in 4 ways as no finger can have more than one ring. (if any finger could have more than 1 ring, then the 2nd ring would have been worn in 6 ways)
in the same line of reasoning, the answer is

5 * 4 * 3 * 2

which is equivalent to answer choice D

thanks
:cool:

Kudos [?]: 28 [0], given: 481

Re: In how many ways can 4 rings be arranged in 5 finger?   [#permalink] 05 Jan 2018, 11:58
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