AsalK369465 AsalK369465
  • 03-11-2022
  • Mathematics
contestada

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=

Respuesta :

SaketF104825 SaketF104825
  • 03-11-2022

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]

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