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Question
the human genome has an estimated 25,000 genes on 23 chromosomes that can be affected by crossing - over and assorted into gametes. given these numbers, about how many different combinations of chromosomes may be found in the gametes? hundreds thousands tens of thousands millions
Step1: Recall the formula for chromosome combinations
The number of different combinations of chromosomes in gametes is given by \(2^n\), where \(n\) is the number of chromosome - pairs. In humans, there are 23 chromosome - pairs.
Step2: Calculate \(2^{23}\)
\(2^{23}=2\times2\times\cdots\times2\) (23 times). \(2^{10} = 1024\), \(2^{23}=2^{10}\times2^{10}\times2^{3}\). \(2^{3}=8\), so \(2^{23}=1024\times1024\times8\). \(1024\times1024 = 1048576\), and \(1048576\times8=8388608\).
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