a DNA chip contain set of random hexanucleotide probes.out of 4096 probe how many will form perfect complementary duplexes with sequestionwithin the 14 nucleotide single target DNA 5'GAACTGCATTGATA3'

GAACTGCATTGATA

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For a 6-mer, the probability of finding any particular sequence is 1/4*1/4*1/4*1/4*1/4*1/4 = 1/(46). The probability that any given 6-mer is present in 46 random sequences is near unity. Note how many different sequences of 6-mers are present in the above sequence. so the answer according to me is 9