PLEIn how many ways can 6 rings of different type be had in 4 fingers?

1.	PLEIn how many ways can 6 rings of different type be had in 4 fingers?1
Answer» Assuming that individual rings are not to be distinguishable from eachother… there are 9 possible Combinations 6 on one finger, none on the rest (6 0 0 0) 5 on one finger, 1 on another (5 1 0 0) 4 2 0 0 4 1 1 0 3 3 0 0 3 2 1 0 3 1 1 1 2 2 2 0 2 2 1 1 Each combination has its own quantity of permutations (6 0 0 0) 4 permutations because 4 fingers to choose to place the 6 rings. (5 1 0 0) 12 permutations (4 2 0 0) 12 permutations (4 1 1 0) 12 permutations (3 3 0 0) 6 permutations (3 2 1 0) 24 permutations (3 1 1 1) 4 permutations (2 2 2 0) 4 permutations (2 2 1 1) 6 permutations Total 84 different ways to put 6 rings on 4 fingers.

PLEIn how many ways can 6 rings of different type be had in 4 fingers?1

Answer»

Assuming that individual rings are not to be distinguishable from eachother… there are 9 possible Combinations

6 on one finger, none on the rest (6 0 0 0)

5 on one finger, 1 on another (5 1 0 0)

4 2 0 0

4 1 1 0

3 3 0 0

3 2 1 0

3 1 1 1

2 2 2 0

2 2 1 1

Each combination has its own quantity of permutations

(6 0 0 0) 4 permutations because 4 fingers to choose to place the 6 rings.

(5 1 0 0) 12 permutations

(4 2 0 0) 12 permutations

(4 1 1 0) 12 permutations

(3 3 0 0) 6 permutations

(3 2 1 0) 24 permutations

(3 1 1 1) 4 permutations

(2 2 2 0) 4 permutations

(2 2 1 1) 6 permutations

Total 84 different ways to put 6 rings on 4 fingers.