Question

Hello,May I please request for help on question #55 word problem (please see picture)?

Answer 1

Case: Combination

Method:

6 digits out of 53.

`\begin{gathered} ^nC_r=(n!)/((n-r)!r!) \\ n=53,r=6 \\ ^(53)C_6=(53!)/((53-6)!6!) \\ =(53!)/(47!*6!) \\ =(53*52*51*50*49*48*47!)/(47!*6!) \\ =(53*52*51*50*49*48)/(6**5*4*3*2*1) \\ =22957480 \end{gathered}`

Final answer:

There are 22957480 possible selections