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Question
How many ways are there of arranging the sixteen black or 
white pieces of a standard international chess set on the 
first two rows of the board? 

Given that each pawn is identical and each rook, knight and 
bishop is identical to its pair.
 Question Submitted By :: Guest
I also faced this Question!!     Rank Answer Posted By  
 
  Re: How many ways are there of arranging the sixteen black or white pieces of a standard international chess set on the first two rows of the board? Given that each pawn is identical and each rook, knight and bishop is identical to its pair.
Answer
# 1
6,48,64,800 ways 

There are total 16 pieces which can be arranged on 16 
places in 16P16 = 16! ways. 
(16! = 16 * 15 * 14 * 13 * 12 * ..... * 3 * 2 * 1) 

But, there are some duplicate combinations because of 
identical pieces. 
?	There are 8 identical pawn, which can be arranged 
in 8P8 = 8! ways. 
?	Similarly there are 2 identical rooks, 2 identical 
knights and 2 identical bishops. Each can be arranged in 
2P2 = 2! ways.
Hence, the require answer is 
= (16!) / (8! * 2! * 2! * 2!) 
= 6,48,64,800
 
Is This Answer Correct ?    0 Yes 0 No
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