SOLUTION:
Case: Combination
Method:
6 digits out of 53.
[tex]\begin{gathered} ^nC_r=\frac{n!}{(n-r)!r!} \\ n=53,r=6 \\ ^{53}C_6=\frac{53!}{(53-6)!6!} \\ =\frac{53!}{47!\times6!} \\ =\frac{53\times52\times51\times50\times49\times48\times47!}{47!\times6!} \\ =\frac{53\times52\times51\times50\times49\times48}{6\times\times5\times4\times3\times2\times1} \\ =22957480 \end{gathered}[/tex]
Final answer:
There are 22957480 possible selections
