6C1: 6 CHOOSE 1
6C1: 6 choose 1 work with steps provide the detailed information about what is the total number of possible combinations occur (nCk) while choosing 1 elements at a time from 8 distinct elements without considering the order of elements.
nCk of 6C1:
6 CHOOSE 1 = 6
where,
6 is the total number of distinct elements (n),
1 is the the number of elements drawn or choosen at a time (k),
6 is the total number of possible combination (C).
6C1 Points to Remember:
- 6 CHOOSE 1 can also be denoted as 6C1.
- Draw 1 out of 6 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.
- In 6 possible combinations, AB and BA are not considered as different events.
- AB and BA considered as a single combination in 6 events.
How-to find nCk: 6 CHOOSE 1?
6C1 is the type of nCr or nCk problem. The below 6 choose 1 work with steps help users to understand the combinations nCk formula, input parameters and how to find how many possible combinations/events occur while drawing 1 elements at a time from 6 distinct elements without considering the order of elements.
Solved Example: :
what is 6 choose 1?
step 1 Address the input parameters and observe what to be found:
Input values:
Total number of distinct elements (n) = 6
The number of elements drawn at a time (k) = 1
What to be found:
Find the total number of possible combinations while choosing 1 elements at a time from 6 distinct elements without considering the order of elements.
step 2 Find the factorial of 6:
6! = 1 x 2 x 3 x 4 x 5 x 6
step 3 Find the factorial of 1:
1! = 1
step 4 Find the factorial of difference between 6 and 1:
(6 - 1)! = 5!
5! = 1 x 2 x 3 x 4 x 5
step 5 Apply the values of 6!, 1! and 5! in the nCk formula:
nCk = n!/k! (n - k)!
6C1 =6!/1! x 5!
=1 x 2 x 3 x 4 x 5 x 6/(1) x (1 x 2 x 3 x 4 x 5)
step 6 Simplify the above 6C1 equation:
=1 x 2 x 3 x 4 x 5 x 6/(1) x (1 x 2 x 3 x 4 x 5)
Hence,
6 choose 1 equals to 6