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A binary sequence is an array of 0's and 1's. The number of n-digit binary sequences which contain even number of 0s' is

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$2^{n - 1}$

$2^{n} - 1$

$2^{n - 1} - 1$

$2^{n}$

answer is A.

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Detailed Solution

$The n digit binary seqence with even no . of zeroes (i . e) 0, 2, 4, 6, \dots \dots zeros is$

${nc}_{0} + {nc}_{2} + {nc}_{4} + \dots \dots = 2^{n - 1}$

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