Question

How many different arrangements of the letters in the word "COLOR" are there? 20 60 120

Answer 1

Answer:

The total number of arrangement of COLOR is 60

B is correct

Step-by-step explanation:

Given: COLOR

We need to find total number of arrangement for COLOR

In color total 5 characters and O is repeated 2 times.

Number of arrangement = total factorial over factorial of repeated characters

Total character = 5

Factor of 5 = 5!

Repeated character = 2!

Total number $=\dfrac{5!}{2!}$

                       $=\dfrac{5\times 4\times 3\times 2\times 1}{2\times 1}$

                      $=60$

Hence, The total number of arrangement of COLOR is 60

Answer 2

there are 60 because the o repeats 2