What is 5 CHOOSE 2 or Value of 5C2?
5 CHOOSE 2 = 10 possible combinations.
10 is the total number of all possible combinations for choosing 2 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 2 can also be written as 5C2 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 2 | 5C2 | 10 |
| 5 CHOOSE 2 | 5C2 | 10 |
How to Find 5C2 or 5 CHOOSE 2?
The below is the complete work with step by step calculation for 5 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 5C2 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 5 CHOOSE 2 calculator.
Workout :
step 1 Address the formula, input parameters & values
n = 5
k = 2
Find what is 5 CHOOSE 2?
step 2 Substitute n and r values in below nCk formula
nCk = n!/k! (n - k)!
5 CHOOSE 2 =5!/2! (5 - 2)!
step 3 Find the factorial for 5!, 2! & 3!, substitute the corresponding values in the below expression and simplify.
5C2 = 5!/2! (3)!
=1 x 2 x 3 x 4 x 5/(1 x 2) (1 x 2 x 3)
= 4 x 5/2
= 20/2
5C2 = 10
10 total possible combinations for 5 CHOOSE 2
