1C1: 1 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 1C1:
1 CHOOSE 1 = 1
where,
1 is the total number of distinct elements (n),
1 is the the number of elements drawn or choosen at a time (k),
1 is the total number of possible combination (C).
1C1 Points to Remember:
1C1 is the type of nCr or nCk problem. The below 1 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 1 distinct elements without considering the order of elements.
Solved Example: :
what is 1 choose 1?
step 1 Address the input parameters and observe what to be found:
Input values:
Total number of distinct elements (n) = 1
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 1 distinct elements without considering the order of elements.
step 2 Find the factorial of 1:
1! = 1
step 3 Find the factorial of 1:
1! = 1
step 4 Find the factorial of difference between 1 and 1:
(1 - 1)! = 0!
0! = 1
step 5 Apply the values of 1!, 1! and 0! in the nCk formula:
nCk = n!/k! (n - k)!
1C1 =1!/1! x 0!
=1/(1) x (1)
step 6 Simplify the above 1C1 equation:
=1/(1) x (1)
Hence,
1 choose 1 equals to 1