In how many ways can a square be identified in a chess board (figure attached)?
A) 64
B) 65
C) 204
D) 205
E) 408
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In how many ways can a square be identified in a chess board
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youcanyouwill
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The number of squares present in square matrix of size
N*N =N*N+(N-1)*(N-1)+(N-2)*(N-2)+.....+1*1.
For a Chess Board , the size is of:
8*8=8*8+7*7+6*6+5*5+4*4+3*3+2*2+1*1=64+49+36+25+16+9+4+1=204.
This can be done in a simple way
The above formula computes to sum of the squares of N natural numbers:
N(N+1)(2N+1)/6
But can you beat A.I at chess unblocked in level 10?
N*N =N*N+(N-1)*(N-1)+(N-2)*(N-2)+.....+1*1.
For a Chess Board , the size is of:
8*8=8*8+7*7+6*6+5*5+4*4+3*3+2*2+1*1=64+49+36+25+16+9+4+1=204.
This can be done in a simple way
The above formula computes to sum of the squares of N natural numbers:
N(N+1)(2N+1)/6
But can you beat A.I at chess unblocked in level 10?
