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Question

In how many ways three different rings can be worn in four fingers with at most one in each finger?
  1. 24
  2. 12
  3. 36
  4. 120


Solution

The correct option is A 24
Since we cannot 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 the second ring can be worn in any of the remaining 3 fingers in 3 ways and the third ring can be worn in any of the remaining 2 fingers in 2 ways.
So the required number of ways in which all the 3 rings can be worn in 4 fingers =4×3×2=24
Alternatively: We have 4 places to be filled up with 3 different things (i.e., rings), which can be done in 4P3 ways. 4P3=24

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