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minimum number m of bit string of positive lengths less than 6 such that there must exist three of these m string having the same number of zeros and the same number of ones is

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minimum number m of bit string of positive lengths less than 6 such that there must exist three of these m string having the same number of zeros and the same number of ones is​

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minimum number m of bit string of positive lengths less than 6 such that there must exist three of these m string having the same number of zeros and the same number of ones is