Question

# In how many ways three different rings can be worn in four fingers with at most one in each finger?

A
24
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B
12
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C
36
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D
120
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Solution

## The correct option is A 24Since 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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