# What is 9 CHOOSE 4 or Value of 9C4?

9 CHOOSE 4 = 126 possible combinations.

126 is the total number of all possible combinations for choosing 4 elements at a time from 9 distinct elements without considering the order of elements in statistics & *probability *surveys or experiments. The number of combinations for sample space 9 CHOOSE 4 can also be written as 9C_{4} in the format of **nCr** or **nCk**.

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

8 CHOOSE 3 | 8C3 | 56 |

8 CHOOSE 4 | 8C4 | 70 |

8 CHOOSE 5 | 8C5 | 56 |

9 CHOOSE 3 | 9C3 | 84 |

9 CHOOSE 4 | 9C4 | 126 |

9 CHOOSE 4 | 9C4 | 126 |

## How to Find 9C_{4} or 9 CHOOSE 4?

The below is the complete work with step by step calculation for 9 CHOOSE 4 may helpful for grade school students to learn how find all possible combinations of 9C_{4} for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 9 CHOOSE 4 calculator.

** Workout** :

step 1 Address the formula, input parameters & values

n = 9

k = 4

Find what is 9 CHOOSE 4?

step 2 Substitute n and r values in below nCk formula

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

9 CHOOSE 4 =9!/4! (9 - 4)!

step 3 Find the factorial for 9!, 4! & 5!, substitute the corresponding values in the below expression and simplify.

9C4 = 9!/4! (5)!

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9/(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5)

= 6 x 7 x 8 x 9/24

= 3024/24

9C4 = 126

126 total possible combinations for 9 CHOOSE 4