3. A checker (0) is placed on a checkerboard, as shown. The checker may move diagonally...

Transcribed Image Text:

3. A checker (0) is placed on a checkerboard, as shown. The checker may move diagonally upward, one square at a time. It cannot move into or over a square with an X. How many paths are there to the top of the board? [3 marks] Thinking How many arrangements of all of the letters in ABCDEFG have the letters A, B, and C together and the letters F and G apart? Explain your reasoning. 3. A checker (0) is placed on a checkerboard, as shown. The checker may move diagonally upward, one square at a time. It cannot move into or over a square with an X. How many paths are there to the top of the board? [3 marks] Thinking How many arrangements of all of the letters in ABCDEFG have the letters A, B, and C together and the letters F and G apart? Explain your reasoning.