How many combination of these numbers is possible: 0,1,2,3,4,5,6,7,8,9?

Question

Please show all possible combination of six , then of four numbers. Very important and urgent! Ex 012345
123456
all possible answers

Answer 1

Use binomial coefficients to solve this.

| n |           n!
|    |   =  ----------
| k |        (n-k)!k!

n is the number of possibilities and k is the number of unordered outcomes.

Combination of six numbers from ten possibilities.

| 10 |       10!          3628800
|      | = ------------ = --------------- = 210
|   6 |    (10-6)!6!     (24)(720)

Combination of four numbers from ten possibilities.

| 10 |
|      |
|   4 |

You should be able to figure out the second one on your own.
Here's a link on factorials, just in case you don't know what they are.

http://mathworld.wolfram.com/Factorial.html

Answer 2

nCr means the number of combinations
of n objects taken r at a time.

The formula is :
nCr = n! / [ r! * (n - r)! ]

For your problem, you have to add up all the
combinations of 10 numbers taken 1 at a time,
2 at a time, 3 at a time, up to10 at a time.

10C1 = 10! / [ 1! * (10 - 1)! ] = 10
10C2 = 10! / ( 2! * (10 - 2)! ] = 45
10C3 = 10! / [ 3! * (10 - 3)! ] = 120
10C4 = 10! / [ 4! * (10 - 4)! ] = 210
10C5 = 10! / [ 5! * (10 - 5)! ] = 252
10C6 = 10! / [ 6! * (10 - 6)! ] = 210
10C7 = 10! / [ 7! * (10 - 7)! ] = 120
10C8 = 10! / [ 8! * (10 - 8)! ] = 45
10C9 = 10! / [ 9! * (10 - 9)! ] = 10
10C10 = 10! / [ 10! * (10 - 10)! ] = 1

The total is 1023 combinations.

Note that the number of combinations
of 4 numbers and 6 numbers are the
same, and are both equal to 210.

Sorry, but I do hope you don't expect me to
write out all of these 420 combinations.
That's a mammoth undertaking
.

Answer 3

If you mean combinations and not permutations (which I presume because you're asking them to be listed), the answer for each number is then 10C6 and 10C4 respectively. To get 10C6 use a calculator, which may have a button that looks like nCr or try using the corresponding formula in MS Excel by typing into any cell "=COMBIN(10, 6) " without the quote marks. Alternatively you can get both answers by computing [(10!)/(6!)*(4!)] = [(10x9x8x...x1)/(6x5x4x...x1) x (4x3x2x1)] = 210.

Note that both 10C6 and 10C4 are equal. For the list, you can either write a bit of code, e.g. VBA in Excel or get somebody else to do it.

Answer 4

36?

Answer 5

thats ALOTTA answers

Answer 6

2,000,000,000