# What is 5 CHOOSE 1 or 5C_{1}?

5 CHOOSE 1 = 5 possible combinations.

5 is the total number of all possible combinations for choosing 1 elements at a time from 5 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 5 CHOOSE 1 can also be written as 5C_{1} in the format of **nCr** or **nCk**.

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

4 CHOOSE 1 | 4C1 | 4 |

4 CHOOSE 2 | 4C2 | 6 |

4 CHOOSE 3 | 4C3 | 4 |

5 CHOOSE 1 | 5C1 | 5 |

5 CHOOSE 1 | 5C1 | 5 |

5 CHOOSE 2 | 5C2 | 10 |

## How to Find 5C_{1} or 5 CHOOSE 1?

The below is the complete work with step by step calculation for 5 CHOOSE 1 may helpful for grade school students to learn how find all possible combinations of 5C_{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 5 CHOOSE 1 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 5

k = 1

Find what is 5 CHOOSE 1?

step 2 Substitute n and r values in below nCk formula

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

5 CHOOSE 1 =5!/1! (5 - 1)!

step 3 Find the factorial for 5!, 1! & 4!, substitute the corresponding values in the below expression and simplify.

5C1 = 5!/1! (4)!

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

5 total possible combinations for 5 CHOOSE 1