Math and Arithmetic

Statistics

Algebra

How many combinations of 6 numbers are there in 52 numbers What are these combinations?

## Answer

###### Wiki User

###### September 29, 2007 2:34AM

This questions can be rewritten as 52 choose 6 or 52C6. This is the same as (52!)/(6!(52-6)!)

(52!)(6!46!)

(52*51*50*49*48*47)/(6*5*4*3*2*1)

14658134400/720

20358520

There are 20,358,520 combinations of 6 numbers in 52 numbers. This treats 1,2,3,4,5,6 and 6,5,4,3,2,1 as the same combination since they are the same set of numbers.

## Related Questions

###### Asked in Math and Arithmetic, Statistics, Algebra

### What number combinations can be made with the numbers 1 2 3 4 5 6 7?

There is 1 combinations with 7 numbers in them,
7 combinations with 1 or 6 numbers in them,
21 combinations with 2 or 5 numbers in them,
35 combinations with 3 or 4 numbers in them.
Notionally, there is also one combination with no numbers in
it.
In all then, there are 128 ( = 27) combinations.
There is 1 combinations with 7 numbers in them,
7 combinations with 1 or 6 numbers in them,
21 combinations with 2 or 5 numbers in them,
35 combinations with 3 or 4 numbers in them.
Notionally, there is also one combination with no numbers in
it.
In all then, there are 128 ( = 27) combinations.
There is 1 combinations with 7 numbers in them,
7 combinations with 1 or 6 numbers in them,
21 combinations with 2 or 5 numbers in them,
35 combinations with 3 or 4 numbers in them.
Notionally, there is also one combination with no numbers in
it.
In all then, there are 128 ( = 27) combinations.
There is 1 combinations with 7 numbers in them,
7 combinations with 1 or 6 numbers in them,
21 combinations with 2 or 5 numbers in them,
35 combinations with 3 or 4 numbers in them.
Notionally, there is also one combination with no numbers in
it.
In all then, there are 128 ( = 27) combinations.

###### Asked in Probability, Mathematical Analysis, Numbers

### Which has the best odds lotto Picking 6 out of 52 numbers or picking 5 out of 36 numbers?

The number of combinations of 52 numbers taken 6 at a time is 52
* 51 * 50 * 49 * 48 * 47 / 6 / 5 / 4 / 3 / 2 = 20,358,520. The
number of combinations of 36 numbers taken 5 at a time is 36 * 35 *
34 * 33 *32 / 5 / 4 / 3 / 2 = 376,992.
The odds are better with 5 out of 36 numbers, but the payout is
probably less as well.