In how many differnt ways can 3 different rings be worn in 5 fingers of a hand?

  • Option 1)

    3! x 5!

  • Option 2)

    35

  • Option 3)

    210

  • Option 4)

    180

 

Answers (1)

As learnt in

Number of Permutations without repetition -

Arrange n objects taken r at a time equivalent to filling r places from n things.

 

- wherein

Where r\leq n\ \; and\; \; r\geq 0

 

 

First ring can be worn in 7 ways

Second in 6 ways

Third in 5 ways

Ways = 7 \times 6 \times 5 = 210 \:ways


Option 1)

3! x 5!

This option is incorrect.

Option 2)

35

This option is incorrect.

Option 3)

210

This option is correct.

Option 4)

180

This option is incorrect.

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