Question: Let T = {0, 1, 2}. A string x T n is said to be balanced if the sum of the digits is an integer

Let T = {0, 1, 2}. A string x Tn is said to be balanced if the sum of the digits is an integer multiple of 3.

(a)

Show a bijection between the set of strings in T6 that are balanced and T5. Explain why your function is a bijection.

(b)

How many strings in T6 are balanced?

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