Q

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

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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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