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

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)

best_answer

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.

Posted by

prateek

View full answer

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