A) 24
B) 12
C) 36
D) 120
E) None of these
Correct Answer: A
Solution :
Explanation Option (a) is correct. Since we can not wear more than one ring in any finger means repetition is not allowed. Hence, the first ring can be worn in any of the available 4 fingers in 4 ways and second ring can be worn in any of the remaining 3 fingers in 3 ways and third ring can be worn in any of the required number of ways in which all the 3 rings can be worn in 4 fingers \[=4\times 3\times 2=24.\] Alternatively: We have 4 places to be filled up by 3 different things (i.e., rings), which can be done in \[^{4}{{P}_{3}}\] ways. \[^{4}{{P}_{3}}=24\]
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