# What is 6 CHOOSE 1 or 6C_{1}?

6 CHOOSE 1 = 6 possible combinations.

6 is the total number of all possible combinations for choosing 1 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 1 can also be written as 6C_{1} in the format of **nCr** or **nCk**.

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

5 CHOOSE 1 | 5C1 | 5 |

5 CHOOSE 2 | 5C2 | 10 |

5 CHOOSE 3 | 5C3 | 10 |

6 CHOOSE 1 | 6C1 | 6 |

6 CHOOSE 1 | 6C1 | 6 |

6 CHOOSE 2 | 6C2 | 15 |

## How to Find 6C_{1} or 6 CHOOSE 1?

The below is the complete work with step by step calculation for 6 CHOOSE 1 may helpful for grade school students to learn how find all possible combinations of 6C_{1} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 6 CHOOSE 1 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 6

k = 1

Find what is 6 CHOOSE 1?

step 2 Substitute n and r values in below nCk formula

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

6 CHOOSE 1 =6!/1! (6 - 1)!

step 3 Find the factorial for 6!, 1! & 5!, substitute the corresponding values in the below expression and simplify.

6C1 = 6!/1! (5)!

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

6 total possible combinations for 6 CHOOSE 1