# 11C4: 11 CHOOSE 4 11C4: 11 choose 4 work with steps provide the detailed information about what is the total number of possible combinations occur (nCk) while choosing 4 elements at a time from 8 distinct elements without considering the order of elements.

nCk of 11C4:
11 CHOOSE 4 = 330
where,
11 is the total number of distinct elements (n),
4 is the the number of elements drawn or choosen at a time (k),
330 is the total number of possible combination (C).

11C4 Points to Remember:

• 11 CHOOSE 4 can also be denoted as 11C4.
• Draw 4 out of 11 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.
• In 330 possible combinations, AB and BA are not considered as different events.
• AB and BA considered as a single combination in 330 events.

For values other than 11 choose 4, use this below tool:
CHOOSE

## How-to find nCk: 11 CHOOSE 4?

11C4 is the type of nCr or nCk problem. The below 11 choose 4 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 4 elements at a time from 11 distinct elements without considering the order of elements.

Solved Example: :
what is 11 choose 4?

step 1 Address the input parameters and observe what to be found:
Input values:
Total number of distinct elements (n) = 11
The number of elements drawn at a time (k) = 4

What to be found:
Find the total number of possible combinations while choosing 4 elements at a time from 11 distinct elements without considering the order of elements.

step 2 Find the factorial of 11:
11! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11

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

step 4 Find the factorial of difference between 11 and 4:
(11 - 4)! = 7!
7! = 1 x 2 x 3 x 4 x 5 x 6 x 7

step 5 Apply the values of 11!, 4! and 7! in the nCk formula:
nCk = n!/k! (n - k)!
11C4 =11!/4! x 7!

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11/(1 x 2 x 3 x 4) x (1 x 2 x 3 x 4 x 5 x 6 x 7)

step 6 Simplify the above 11C4 equation:
=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11/(1 x 2 x 3 x 4) x (1 x 2 x 3 x 4 x 5 x 6 x 7)

= 8 x 9 x 10 x 11/24
= 7920/24

11C4 = 330

Hence,
11 choose 4 equals to 330 