NCk: 12 CHOOSE 2

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12C2: 12 CHOOSE 2

12C2: 12 choose 2 work with steps provide the detailed information about what is the total number of possible combinations occur (nCk) while choosing 2 elements at a time from 8 distinct elements without considering the order of elements. nCk of 12C2: 12 CHOOSE 2 = 66 where, 12 is the total number of distinct elements (n), 2 is the the number of elements drawn or choosen at a time (k), 66 is the total number of possible combination (C). 12C2 Points to Remember:

• 12 CHOOSE 2 can also be denoted as 12C2.
• Draw 2 out of 12 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.
• In 66 possible combinations, AB and BA are not considered as different events.
• AB and BA considered as a single combination in 66 events.

For values other than 12 choose 2, use this below tool: CHOOSE SUBMIT

How-to find nCk: 12 CHOOSE 2?

12C2 is the type of nCr or nCk problem. The below 12 choose 2 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 2 elements at a time from 12 distinct elements without considering the order of elements.

Solved Example: : what is 12 choose 2? step 1 Address the input parameters and observe what to be found: Input values: Total number of distinct elements (n) = 12 The number of elements drawn at a time (k) = 2 What to be found: Find the total number of possible combinations while choosing 2 elements at a time from 12 distinct elements without considering the order of elements. step 2 Find the factorial of 12: 12! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 step 3 Find the factorial of 2: 2! = 1 x 2 step 4 Find the factorial of difference between 12 and 2: (12 - 2)! = 10! 10! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 step 5 Apply the values of 12!, 2! and 10! in the nCk formula: nCk = n!/k! (n - k)! 12C2 =12!/2! x 10! =1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12/(1 x 2) x (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10) step 6 Simplify the above 12C2 equation: =1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12/(1 x 2) x (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10) = 11 x 12/2 = 132/2 12C2 = 66Hence,12 choose 2 equals to 66

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