Question

In how many ways 4 rings of different types can be worn in 3 fingers, if any
number of rings can be worn in a finger?​

Answer 1

SOLUTION

TO DETERMINE

The Number of ways 4 rings of different types can be worn in 3 fingers, if any number of rings can be worn in a finger

EVALUATION

Here it is given that there are 4 rings

Number of fingers = 3

The number of ways 3 of the 4 rings can be worn in 3 fingers

$\sf{ = {}^{4} C_3}$

$\displaystyle\sf{ = \frac{4!}{3!(4 - 3)!} }$

$\displaystyle\sf{ = \frac{4!}{3! \: 1!} }$

$\displaystyle\sf{ = \frac{4 \times 3!}{3! \: 1!} }$

$\displaystyle\sf{ = 4}$

Now the number of rings left = 4 - 3 = 1

The number of ways this 1 ring can be worn in 3 fingers

$\sf{ = {}^{4} C_3}$

$\sf{ = 3}$

The number of ways above can be done

= 4!

= 24

Hence the required number of ways 4 rings of different types can be worn in 3 fingers, if any number of rings can be worn in a finger

= 4 × 3 × 24

= 288

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. In how many ways can a party of 4 be selected out of 9, if one man is always to be

(i) included

(ii) excluded.

https://brainly.in/question/21588773

2. In a group of 60 persons, 35 like coffee. Out of this group, if one person

is chosen at random, what is the probabil...

https://brainly.in/question/21542546