Four of them.
If order matters and a number cannot be repeated, then there are 16x15x14x13 = 43680 different combinations. If order does not matter then you must divide by the number of ways you can rearrage the same 4 numbers i.e. divide by 4x3x2x1=24 so you can select 4 numbers from a group of 16 in 43680/24 = 1820 ways. In mathematical terms there are 43680 permutations of 16 numbers taken 4 at a time and 1820 combinations of 16 number taken 4 at a time.
It's just a combination of 59 objects chosen five at a time which means (59*58*57*56*55)/(5*4*3*2*1)=5,006,386. Order does not matter in this calculation, which is why it is a combination not a permutation.
There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.There are 10 combinations of 1 number,10*9/(2*1) = 45 combinations of 2 numbers,10*9*8/(3*2*1) = 120 combinations of 3 numbers,10*9*8*7/(4*3*2*1) = 210 combinations of 4 numbers,10*9*8*7*6/(5*4*3*2*1) = 252 combinations of 5 numbers,210 combinations of 6 numbers,120 combinations of 7 numbers,45 combinations of 8 numbers,10 combinations of 9 numbers, and1 combination of 10 numbers.All in all, 210 - 1 = 1023 combinations. I have neither the time nor inclination to list them all.
There are 26! (which means 26*25*24 all the way to 1) permutations. this comes to 403,291,461,100,000,000,000,000,000 different combinations. If it takes you thirty seconds to write out one combination, then it would take 383,123,823,100,000,000,000 YEARS to write all the combinations. To put this into context, the universe (and possibly time itself) is only 13,700,000,000 years old.
Combinations from 90 objects, taken 3 at a time is 90C3 = 90*89*88/(3*2*1) = 117,480.
Do a web search for "permutations and combinations" to find the how. I make it 35,960.
For the permutation the equation is (8!)/(5!) assuming there is no replacement. Which is 8*7*6 = 336 For combinations the equation is (8!)/((5!)(8-5)!) = (8!)/((5!)(3)!) = (8*7*6)/(6) = 56
Four of them.
There is just 1 combination of 8 numbers taken 8 at a time.
Permutations = 4 x 3 x 2 = 24Combinations = (4 x 3 x 2) / (3 x 2 x 1) = 24/6 = 6
The number of combinations of N things taken P at a time is (N! - P!) / (N - P)! The number of combinations of 24 things taken 12 at a time is 1,295,295,050,649,599.
10*9*8 = 720
type in your calculator C(6,4) like the combination of 6 things taken 4 at a time
How many different ways can we arrange 9 objects taken 3 at a time?
Powerball is a game of combinations of 59 things (balls) taken 5 at a time, plus the combinations of 39 things taken 1 at a time.The combinations of N things taken P at a time is (N! - P!) / P!For the first part, this is 5,006,386. For the second part, this is 39. The total number of combinations is the product of the two, or 195,249,054.The Australian version is similar, but uses 45 things in both parts, so the total combinations is 1,221,759 times 45, or 54,979,155.
The combination formula is usually written as nCr representing the number of combinations of r objects at a time taken from n. nCr = n!/[r!*(n-r)!] The permutation formula is usually written as nPr representing the number of permutations of r objects at a time taken from n. nPr = n!/r! Where n! [n factorial] is 1*2*3*....*(n-1)*n