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In how many ways is it possible to choose a white square and a

Question

In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column -

56

896

60

768

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In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column -

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Text solutionVerified

We know a chess board has

32

white and

32

black squares, we need to select

1

white square out of these

32

white squares that is done in

_{32} C_{1}

which is

32

No, we have selected any one white square, there are eight black squares lying in the same column or row so out of

32 - 8 = 24

black squares

We need to select one black square that is

_{24} C_{1}

So, if both squares selected then our work is done

Hence it is in

32 \times 24 = 768

ways.

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Question Text	In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column -
Answer Type	Text solution:1
Upvotes	151

In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column -

Text solutionVerified

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