Find the value of ^ 80 C_2 - Vidyadip

Question

Find the value of

${ }^{80} C_2$

✓

Answer

$\begin{aligned}{ }^{80} C _2=\frac{80 !}{2 !(80-2) !} & =\frac{80 !}{2 ! 78 !} \\ & =\frac{80 \times 79 \times 78 !}{2 \times 78 !}\end{aligned}$

$=40 \times 79=3160$

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