Monte carlo simulations- vary one parameter at a time or all of them at once?

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(may not be a right MATLAB question but more of a theoretical one)
When you do a Monte-Carlo simulation with several fluctuating input parameters, do you vary all inputs separately or at once?
So if I want to vary 10 parameters in my model and let's say for all the individual parameters, I have 100 different values. So shall I perform 100*10 simulations or 100 simulations for one parameter and then for the next one and so on? Maybe I am unclear about the aim of the monte carlo simulations here.
Thanks :)

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Torsten
Torsten 2018-4-18
All parameters are varied simultaneously according to their underlying statistical distribution.

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