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1) How many 10-bit strings begin with 1011 or 01? 2) How many 10-bit strings begin with 1011 or end with 01? 3) How many 10-bit strings begin with 1011 and end with 01?

Discrete Math
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Autumn0909 what subject would you categorize this question in?
I'm in Discrete Mathematics.
So #1) we have case 1: 1011 ___ ___ and case 2: ____ ___ _01 each blank can only have a 0 or a 1 case 1: 2^6 case 2: 2^8 because it says or we add them together and get 320?

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