Question

Number of ways in which all the letters of the word ALASKA can be arranged in a circle distinguishing between the clockwise and anticlockwise arrangement is

• A. $60$
• B. $40$
• C. $20$
• D. none of these

Answer 1

Answer: (C)

$20$

First let us arrange ALASKA in a line the number of ways $\frac{6!}{3!}=120$

However there will be 6 in distinguishable arrangements produced by rotation around circle

$\therefore$ No. of ways $\frac{120}{6}=20$

Hence, the answer is $20.$