4C1: 4 CHOOSE 1

4C1: 4 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 4C1:
4 CHOOSE 1 = 4
where,
4 is the total number of distinct elements (n),
1 is the the number of elements drawn or choosen at a time (k),
4 is the total number of possible combination (C).

4C1 Points to Remember:

• 4 CHOOSE 1 can also be denoted as 4C1.
• Draw 1 out of 4 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.
• In 4 possible combinations, AB and BA are not considered as different events.
• AB and BA considered as a single combination in 4 events.

4C1 is the type of nCr or nCk problem. The below 4 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 4 distinct elements without considering the order of elements.

Solved Example: :
what is 4 choose 1?

step 1 Address the input parameters and observe what to be found:
Input values:
Total number of distinct elements (n) = 4
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 4 distinct elements without considering the order of elements.

step 2 Find the factorial of 4:
4! = 1 x 2 x 3 x 4

step 3 Find the factorial of 1:
1! = 1

step 4 Find the factorial of difference between 4 and 1:
(4 - 1)! = 3!
3! = 1 x 2 x 3

step 5 Apply the values of 4!, 1! and 3! in the nCk formula:
nCk = n!/k! (n - k)!
4C1 =4!/1! x 3!

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

step 6 Simplify the above 4C1 equation:
=1 x 2 x 3 x 4/(1) x (1 x 2 x 3)

Hence,
4 choose 1 equals to 4