An experimenter wishes to investigate the effect of three variables, pressure, temperature, and(adsbygoogle = window.adsbygoogle || []).push({});

the type of catalyst, on the yield in a refining process. If the experimenter intends to use three temperature

settings and three pressure settings and two types of catalysts, how many experimental runs will have to

be conducted if he wishes to run all possible combinations of pressure, temperature, and types of catalysts?

I am a bit confused on all the different ways used to solve probability questions. This is what I have so far:

3 temp settings, 3 pressure settings, 2 types of catalysts

And it is asking on how many possible different cominations of these 3 variables. There is 8 variables total.

Whould this problem be an example of Multinomial Coefficients?

so the way to solve is 8!/(3!*3!*2!)

Is that correct?

Thank you for your help.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Probability and Multinomial Coefficients

**Physics Forums | Science Articles, Homework Help, Discussion**