Subsets

How many 19 element's subsets can be made from the 26 element set?

Correct answer:

x =  657800

Step-by-step explanation:

$$\begin{gathered} C_{19}(26)=\left({\displaystyle \genfrac{}{}{0px}{}{26}{19}}\right)={\displaystyle \frac{26!}{19!(26-19)!}}={\displaystyle \frac{26\cdot 25\cdot 24\cdot 23\cdot 22\cdot 21\cdot 20}{7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}}=657800 \\ x=\left(\genfrac{}{}{0px}{}{26}{19}\right)=657800 \end{gathered}$$

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