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ITMC 2018 Grade 11 National Preliminary set01 Question 30

ITMC · ITMC 2018 Grade 11 National Preliminary set01

Question 30

Optional bonus: the source awards 20 points if correct, deducts 7 if incorrect, and gives 0 if blank. This import preserves positive marks but not the penalty.

If the answer is not an integer, give the nearest integer. If the calculated answer has more than five digits, give its last five digits.

Four men A, B, C and D pass a ball. At each pass the holder chooses one of the other three men. A holds the ball initially. How many passing sequences put the ball with A after the eighth pass? The two source examples are shown below.

Question illustration