# What is 18 CHOOSE 12 or 18C_{12}?

18 CHOOSE 12 = 18564 possible combinations.

18564 is the total number of all possible combinations for choosing 12 elements at a time from 18 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 18 CHOOSE 12 can also be written as 18C_{12} in the format of **nCr** or **nCk**.

n CHOOSE k | nCk | Combinations |
---|---|---|

11 CHOOSE 11 | 11C11 | |

12 CHOOSE 11 | 12C11 | 12 |

12 CHOOSE 12 | 12C12 |

## How to Find 18C_{12} or 18 CHOOSE 12?

The below is the complete work with step by step calculation for 18 CHOOSE 12 may helpful for grade school students to learn how find all possible combinations of 18C_{12} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 18 CHOOSE 12 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 18

k = 12

Find what is 18 CHOOSE 12?

step 2 Substitute n and r values in below nCk formula

nCk = n!/k! (n - k)!

18 CHOOSE 12 =18!/12! (18 - 12)!

step 3 Find the factorial for 18!, 12! & 6!, substitute the corresponding values in the below expression and simplify.

18C12 = 18!/12! (6)!

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18/(1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12) (1 x 2 x 3 x 4 x 5 x 6)

= 13 x 14 x 15 x 16 x 17 x 18/720

= 13366080/720

18C12 = 18564

18564 total possible combinations for 18 CHOOSE 12