Question: 1) How many ways can you tile a 2xn rectangle with 2x1 dominoes where n is an integer? Explain WHY you get this pattern. 2)

1) How many ways can you tile a 2xn rectangle with 2x1 dominoes where n is an integer? Explain WHY you get this pattern.

2) Can you tile an 8x8 chessboard with dominoes without creating a 2x2 square anywhere? In other words, can you tile without placing the dominoes in positions of = or II ?

3) Can you tile an 8x8 chessboard if the two squares on opposite corners are missing?

1) How many ways can you tile a 2xn rectangle with 2x1

(You can't list them because there are too many.)

Give answers with evidence. Thank you.

How many ways are there to make 10? How many ways are there to make 10

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