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

Hello,May I please request for help on question #55 word problem (please see picture-example-1

1 Answer

4 votes

SOLUTION:

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

User Saswanb
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