# What is 4 CHOOSE 4 or 4C_{4}?

4 CHOOSE 4 = 1 possible combinations.

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

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

3 CHOOSE 3 | 3C3 | |

4 CHOOSE 3 | 4C3 | 4 |

4 CHOOSE 4 | 4C4 | |

4 CHOOSE 4 | 4C4 | |

5 CHOOSE 3 | 5C3 | 10 |

5 CHOOSE 4 | 5C4 | 5 |

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

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

** Workout** :

step 1 Address the formula, input parameters & values

n = 4

k = 4

Find what is 4 CHOOSE 4?

step 2 Substitute n and r values in below nCk formula

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

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

step 3 Find the factorial for 4!, 4! & 0!, substitute the corresponding values in the below expression and simplify.

4C4 = 4!/4! (0)!

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

= 1/1

= 1/1

4C4 = 1

1 total possible combinations for 4 CHOOSE 4