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Question: In how many ways can you assign the letters A, B, C, D, P, Q, R, and S to the corners of a square?



A ) 1660
B ) 1200
C ) 1500
D ) 1680

Steps to derive

1 Total number of letters = 8

2 A square has 4 corners.

3 First corner can be assigned any of the 8 letters; second corner can be assigned any of the 7 letters and so on.

4 By counting principle,
1st corner   2nd corner   3rd corner   4th corner
      8       ×        7        ×        6       ×        5       =    1680

5 There are 1680 different ways in which the letters can be assigned to the four corners of the square.



Hence the right answer is Option D

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