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There are 7 distinguished rings the no. Of possiblevfivr ring arrangement on 4 fingers on one hand ( the order of the rings on each finger is to be counted and it is not required that each finger has a rung

There are 7 distinguished rings the no. Of possiblevfivr ring arrangement on 4 fingers on one hand ( the order of the rings on each finger is to be counted and it is not required that each finger has a rung

Grade:11

2 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
7 years ago
Select 5 rings out of 7 in 7C5 ways. Now each ring has 4 options to choose from given fingers and there are 5 rings like that. Total 4x4x4x4x4.
So total ways 7C5 45
Vivek Sharma
26 Points
2 years ago
The number of ways of selecting 5 rings out of 7 = 7C5 i.e., = 21 ways.
Now each first ring has 4 fingers to choose . But for the next finger , the number of ways = 5 (because the order can be changed i.e. second ring can be placed above or below first ring) .
Similarly the no, of ways of third , fourth and fifth finger is 6 , 7 and 8 respectively .
therefore total number of ways = 21 X 4 X 5 X 6 X 7 X 8
                                                         = 141120

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