Need to figure out how many different configurations exist for an All terrain crane

Question

We have a Liebherr LTM 1090-4.1 all terrain crane.  We were issued a fine from OSHA for not having a printed load chart in the crane.  The load charts are digital in cranes like this because.

There are 142 different Boom configurations

There are 34 different Counterweight configurations

There are 5 different outrigger configurations

and there are 7 different jib configurations

For every option (boom, counterweight, outrigger, and Jib) there is a load chart for every combination of each other option.

My question is what is the total number of possible configurations?

Thank you for any help, its been 20 years and I can remember my professor going over this but can't remember the details.

Answer 1

The number of configurations, assuming that boom, counterweight, outrigger and jib are all independent, is 142×34×5×7=168,980.