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<strong>phy1004</strong>W<br />

Thermal Physics<br />

Making fewer distinctions<br />

IG-09<br />

Of the five balls, imagine three are red, and two green.<br />

Say we do not care about the ball number, just the colour,<br />

eg RRRGG or RGRGR.<br />

There are 5! = 120 numbered sequences.<br />

There are 3! = 6 permutations of red balls, and<br />

there are 2! = 2 permutations of green balls.<br />

Thus the number of different colour sequences is:<br />

52

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