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  4. Evaluate 12C2.

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Q. Evaluate $^{12}C_{2}$.

Permutations and Combinations

Solution:

$^{12}C_{2} = \frac{12!}{\left(10\right)! 2!}
\frac{ 12 \times 11 \times\left(10!\right)}{\left(10!\right)\times2}=6\times11
=66$