LaydenQ407973 LaydenQ407973
  • 03-11-2022
  • Mathematics
contestada

A professor decided he was only going to grade 8 out of 10 HW problems he assigned. How many different groupings of HW problems could he grade?

Respuesta :

NastehaL299253 NastehaL299253
  • 03-11-2022

Answer:

The number of groupings is 45

Explanation:

Given that the professor decided he was only going to grade 8 out of 10 HW problems he assigned.

We want to calculate the number of ways the professor can grade the HW.

Which is a conbination;

[tex]10C8[/tex]

Solving we have;

[tex]\begin{gathered} n=10C8=\frac{10!}{8!(10-8)!} \\ n=45 \end{gathered}[/tex]

Therefore, the number of groupings is 45

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