Question about Office Equipment & Supplies

Pick 5 of 7 numbers how many combinations are there

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There are 21 ways of picking five items out of seven.

Posted on Nov 20, 2013

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this is covered in the theory of probability formula
to get the answer go google and type in theory of probability and the formula and explanation are on the pages

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How many 5 digit combinations would it take out of 15 numbers(1-15)in order to have all possible combinations

I assume that repetition of numbers can't happen, and the order of numbers does not matter

So it is n! / (r! (n-r)!)
= 15! / (5! (15-5)!)
= 1307674368000 / (120 (3628800)
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Does anybody know how many different combinations there are for the numbers 1, 2, 3, 4, 5 and 6?

That depends on how many of those six numbers you take.
If you only take one number, there are six combinations: {1}, {2}, {3}, {4}, {5}, and {6}.
If you take two numbers, there are fifteen combinations: {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,3}, {2,4}, {2,5}, {2,6}, {3,4}, {3,5}, {3,6}, {4,5}, {4,6}, and {5,6}.
If you take three numbers, there are twenty combinations.
If you take four numbers, there are fifteen combinations.
If you take five numbers, there are six combinations.
If you take all six numbers, there is only one combination: {1,2,3,4,5,6}.
In general, if you take 'm' objects out of a set of 'n' objects, the number of combinations is given by n!/[(m!)(n-m)!] where '!' is the factorial operator.

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How many combinations for the numbers 1, 2, 3, 4, 5 and 6?

That depends on how many of those six numbers you take.
If you only take one number, there are six combinations.
If you take two numbers, there are fifteen combinations.
If you take three numbers, there are twenty combinations.
If you take four numbers, there are fifteen combinations.
If you take five numbers, there are six combinations.
If you take all six numbers, there is only one combination.
In general, if you take 'm' objects out of a set of 'n' objects, the number of combinations is given by n!/[(m!)(n-m)!] where '!' is the factorial operator.

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