halol25942 halol25942
  • 09-08-2020
  • Mathematics
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Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)

Need help on the third question how do i generalise the number of ways to wincheck the attatchment class=

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sqdancefan
sqdancefan sqdancefan
  • 09-08-2020

Answer:

  2n+2 ways to win

Step-by-step explanation:

You generalize by observing patterns in the way you solve the smaller problems.

The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.

For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.

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