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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)
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)
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)
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!
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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
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