Question Number 63561 by aliesam last updated on 05/Jul/19 | ||
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Answered by MJS last updated on 05/Jul/19 | ||
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$$=\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\left(\mathrm{2}{k}−\mathrm{1}\right)×\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\mathrm{2}{k}= \\ $$$$=\left[\mathrm{1}×\mathrm{3}×\mathrm{5}×...×\left(\mathrm{2}{n}−\mathrm{1}\right)\right]×\left[\mathrm{2}×\mathrm{4}×\mathrm{6}×...×\mathrm{2}{n}\right]= \\ $$$$=\mathrm{1}×\mathrm{2}×\mathrm{3}×\mathrm{4}×...×\left(\mathrm{2}{n}−\mathrm{1}\right)\left(\mathrm{2}{n}\right)= \\ $$$$=\left(\mathrm{2}{n}\right)! \\ $$ | ||
Commented by aliesam last updated on 05/Jul/19 | ||
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$${god}\:{bless}\:{you}\:{sir} \\ $$ | ||