(a) How many words of ten or fewer letters can be formed using the alphabet ({a, b})...

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(a) How many words of ten or fewer letters can be formed using the alphabet \(\{a, b\}\) ?

(b) Using the alphabet \(\{a,b, c,d, e, f\}\), how many six letter words are there that use all six letters, in which no two of the letters \(a,b, c\) occur consecutively?

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