Sequence of zeros and ones
A bit string is the sequence of zeros and ones. How many bit strings of length 13 can be constructed if the string contains exactly 4 zeros?
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A bit string is the sequence of zeros and ones. How many bit strings of length 13 can be constructed if the strings begin with the 011 or end with 101?
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Prove that one can always find out two groups of people (with no common person) the sum of whose ages is the same. Can 10 replaced by the smaller number?
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