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A white ball is dropped from the START point on a board of pegs as shown in the diagram. The ball can only move along

A white ball is dropped from the START point on a board of pegs as shown in the diagram. The ball can only move along the grey lines, and falls into one of the trays at the bottom.

a)How many different paths are there for the white ball?

b)How many paths pass through the red dot "X"

c)How many paths do not pass through the red dot "X"?

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