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Math - how would you calculate the number of combinations for this?

OK, so here are the parameters. There are 5 sets of numbers. Each set has its own place, meaning the first set is always only in the first set, the second is in the second, etc. The placement never changes.

The first set has four possible numbers.

The second set has two possible numbers.

The third set has 2 possible numbers

The fourth set has 3 possible numbers

and the fifth set has five possible numbers.

What I have to do is find all the possible combinations for these numbers, BUT, like I said, the sets never change - the first set of numbers always stays in the first set, second in the second, etc. Is there a formula I can plug these numbers into that will let me calculate how many possible combinations there are? Furthermore, how can I get a list of these combinations? Thanks - the best answer (that I can understand) will get 10 points. It would help if I could use the formula in an excel worksheet.

BTW, its not for school. I'm too old to be in school.

1 Answer

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  • 1 decade ago
    Favorite Answer

    if you are selecting 1 number from each set it would be

    4C1 * 2C1 * 2C1* 3C1 *5C1 =240

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