Q.

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:

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a

60

b

40     

c

20

d

None of these

answer is C.

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Detailed Solution

All permutation of ALASKA in line =6!3!=120 .  Every six diff. permutation of line will give one required permutation in circle.

Þ Hence, no. of ways = 120/6 = 20. 

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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: