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