Answer
The number of possible selections (6 out of 53) = $53_{{C}{_{6}}}$ = 22,957,480
Work Step by Step
Total number of collections = 53
Numbers have to select = 6
The number of possible selections (6 out of 53) = $53_{{C}{_{6}}}$
= $\frac{53!}{(53 - 6)! 6!}$
= $\frac{53!}{47!. 6!}$
= $\frac{53\times52\times51\times50\times49\times48\times47!}{ 47!.(6\times5\times4\times3\times2\times1)}$
= $\frac{53\times52\times51\times50\times49\times48}{ 6\times5\times4\times3\times2\times1}$
= 22957480
