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in a culinary arts class,a student is asked to select dishes from the list of 12. how many ways can the students select 8​

Sagot :

  • [tex]\tt{495\:ways}[/tex]

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Solution

We use combination since order doesn't matter

n = 12, r = 8

12nCr8: 495

[tex]{}[/tex]

Total dishes = 12

We have to select 8

8 dishes from 12

= [tex]\large{ \tt{ \frac{12!}{8!(12\:-\:8)!}}}[/tex]

= [tex]\tt\large{ \frac{12!}{8!\:4!}}[/tex]

= [tex]\boxed{ \tt{ \underline{495\:ways}}}[/tex]