Solve this
Question:

${ }^{71} \mathrm{C}_{71}$

 

Solution:

We know that:

${ }^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! \times r !}$

$\Rightarrow{ }^{71} \mathrm{C}_{71}=\frac{71 !}{(71-71) ! \times 71 !}$

$\Rightarrow{ }^{71} C_{71}=\frac{1}{0 !}$

$\Rightarrow{ }^{71} \mathrm{C}_{71}=\frac{1}{1} \ldots(0 !=1)$

$\Rightarrow{ }^{71} \mathrm{C}_{71}=1$

Ans: ${ }^{71} \mathrm{C}_{71}=1$

 

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