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What do you mean by 'ray'? If 'string', them here's some possibilities:

'', (1)

'a', 'b', 'c' (3)

'aa', 'ba', 'ca', 'ab', 'bb', 'cb', 'ac', 'bc', 'cc' (9)

'aaa', ... 'ccc' (27)

total: 40

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Q: What is the maximum number of different rays that can be formed using the letters a b and c?
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