What is 5 CHOOSE 3 or 5C3? 5 CHOOSE 3 = 10 possible combinations.
10 is the total number of all possible combinations for choosing 3 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 3 can also be written as 5C3 in the format of nCr or nCk.

n CHOOSE knCkCombinations
4 CHOOSE 24C26
4 CHOOSE 34C34
4 CHOOSE 44C4
5 CHOOSE 25C210
5 CHOOSE 35C310
5 CHOOSE 35C310

How to Find 5C3 or 5 CHOOSE 3?

The below is the complete work with step by step calculation for 5 CHOOSE 3 may helpful for grade school students to learn how find all possible combinations of 5C3 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 3 calculator.

Workout :
step 1 Address the formula, input parameters & values
n = 5
k = 3
Find what is 5 CHOOSE 3?

step 2 Substitute n and r values in below nCk formula

nCk = n!/k! (n - k)!
5 CHOOSE 3 =5!/3! (5 - 3)!

step 3 Find the factorial for 5!, 3! & 2!, substitute the corresponding values in the below expression and simplify.

5C3 = 5!/3! (2)!

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

= 4 x 5/2
= 20/2

5C3 = 10

10 total possible combinations for 5 CHOOSE 3 