# What is 9 CHOOSE 5 or Value of 9C5? 9 CHOOSE 5 = 126 possible combinations.
126 is the total number of all possible combinations for choosing 5 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 5 can also be written as 9C5 in the format of nCr or nCk.

n CHOOSE knCkCombinations
8 CHOOSE 48C470
8 CHOOSE 58C556
8 CHOOSE 68C628
9 CHOOSE 49C4126
9 CHOOSE 59C5126
9 CHOOSE 59C5126

## How to Find 9C5 or 9 CHOOSE 5?

The below is the complete work with step by step calculation for 9 CHOOSE 5 may helpful for grade school students to learn how find all possible combinations of 9C5 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 5 calculator.

Workout :
step 1 Address the formula, input parameters & values
n = 9
k = 5
Find what is 9 CHOOSE 5?

step 2 Substitute n and r values in below nCk formula

nCk = n!/k! (n - k)!
9 CHOOSE 5 =9!/5! (9 - 5)!

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

9C5 = 9!/5! (4)!

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

= 6 x 7 x 8 x 9/24
= 3024/24

9C5 = 126

126 total possible combinations for 9 CHOOSE 5 