how many different combinations of six can you make with these numbers and what are they?

Question

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Answer 1

There are C(30,6) 6-combinations using the numbers from 1-30. (Assuming that order doesn't make a difference, i.e. 1,2,3,4,5,6 is the same as 6,5,4,3,2,1, and that you can't re-use numbers.)

That's 30x29x28x27x26x25 / (6x5x4x3x2x1) = 593775 combinations.

I don't think I want to list them. :)

Answer 2

If you mean 'how many combinations of six numbers can you make (like lottery numbers)', the answer is:

30 x 30 x 30 x 30 x 30 x 30 = 729,000,000

Answer 3

this can be worded as "30 choose 6" or "30 factorial choose 6 factorial" this is like the lottery
30 choose 6 will give you 593,775 possible combinations.
you can figure this out on scientific calculators in two seconds if you know how to do it.
mathematically this would be expressed as;
30*29*28*27*26*25/(divded by)6*5*4*3*2*1=593,775

Answer 4

well if the numbers can repeat them selves the answer is as simple as 30^6 = 729,000,000

but if the numbers can not repeat them selves then it goes like this

30 * 29 * 28 * 27 *26 * 25 = 427,518,000

Answer 5

nCr=nPr/rPr
n=30
r=6
nPr=30*29*28*27*26*25=427518000
rPr=6*5*4*3*2(*1)=720
nCr=593775

There are a total of 593775 possibilities. You can now see why I can't LIST them all.

Notice: If you see "..." after the 4th line, there's one more zero.

Answer 6

if repitition is not allowed then 30*29*28*27*26*25*.

Answer 7

Jim had it right if order doesn't matter.

ordered is permutations: 30P6

order doesn't matter: 30C6

note that 30C6 = 30P6/6!

Answer 8

im guessing 5....................... though i dun really understand wat u mean!!