4. Isaac has a large supply of counters, and places one in each of the
• Start each question on a fresh sheet of paper. Write
1 × 1 squares of an 8 × 8 chessboard. Each counter is either red,
on one side of the paper only. On each sheet of
white or blue. A particular pattern of coloured counters is called an
working write the number of the question in the
arrangement. Determine whether there are more arrangements which
top left hand corner and your name, initials and
contain an even number of red counters or more arrangements which
school in the top right hand corner.
contain an odd number of red counters. Note that 0 is an even number.
• Complete the cover sheet provided and attach it to
the front of your script, followed by your solutions
in question number order.
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