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Question-176894




Question Number 176894 by infinityaction last updated on 27/Sep/22
Answered by BaliramKumar last updated on 27/Sep/22
⇒ (((((28×29×30×31×........×76)/(49!))))/((((50×51×52×53×.........×76)/(27!)))))  ⇒ ((27!(28×29×30×31×........×76))/(49!(50×51×52×53×.......×76)))   ⇒   ⇒ ((76!)/(76!)) =  determinant ((1))
$$\Rightarrow\:\frac{\left(\frac{\mathrm{28}×\mathrm{29}×\mathrm{30}×\mathrm{31}×……..×\mathrm{76}}{\mathrm{49}!}\right)}{\left(\frac{\mathrm{50}×\mathrm{51}×\mathrm{52}×\mathrm{53}×………×\mathrm{76}}{\mathrm{27}!}\right)} \\ $$$$\Rightarrow\:\frac{\mathrm{27}!\left(\mathrm{28}×\mathrm{29}×\mathrm{30}×\mathrm{31}×……..×\mathrm{76}\right)}{\mathrm{49}!\left(\mathrm{50}×\mathrm{51}×\mathrm{52}×\mathrm{53}×…….×\mathrm{76}\right)}\: \\ $$$$\Rightarrow\: \\ $$$$\Rightarrow\:\frac{\mathrm{76}!}{\mathrm{76}!}\:=\:\begin{array}{|c|}{\mathrm{1}}\\\hline\end{array} \\ $$

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