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

HelloMay I Please Request For Help On Question 55 Word Problem Please See Picture class=

Sagot :

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

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