# What is 6 CHOOSE 4 or Value of 6C4?

6 CHOOSE 4 = 15 possible combinations.

15 is the total number of all possible combinations for choosing 4 elements at a time from 6 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 6 CHOOSE 4 can also be written as 6C_{4} in the format of **nCr** or **nCk**.

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

5 CHOOSE 3 | 5C3 | 10 |

5 CHOOSE 4 | 5C4 | 5 |

5 CHOOSE 5 | 5C5 | |

6 CHOOSE 3 | 6C3 | 20 |

6 CHOOSE 4 | 6C4 | 15 |

6 CHOOSE 4 | 6C4 | 15 |

## How to Find 6C_{4} or 6 CHOOSE 4?

The below is the complete work with step by step calculation for 6 CHOOSE 4 may helpful for grade school students to learn how find all possible combinations of 6C_{4} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 6 CHOOSE 4 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 6

k = 4

Find what is 6 CHOOSE 4?

step 2 Substitute n and r values in below nCk formula

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

6 CHOOSE 4 =6!/4! (6 - 4)!

step 3 Find the factorial for 6!, 4! & 2!, substitute the corresponding values in the below expression and simplify.

6C4 = 6!/4! (2)!

=1 x 2 x 3 x 4 x 5 x 6/(1 x 2 x 3 x 4) (1 x 2)

= 5 x 6/2

= 30/2

6C4 = 15

15 total possible combinations for 6 CHOOSE 4