NCk: 12 CHOOSE 3

• Home
• Statistics
• Combination Calculator
• nCk: 12 choose 3

12C3: 12 CHOOSE 3

12C3: 12 choose 3 work with steps provide the detailed information about what is the total number of possible combinations occur (nCk) while choosing 3 elements at a time from 8 distinct elements without considering the order of elements. nCk of 12C3: 12 CHOOSE 3 = 220 where, 12 is the total number of distinct elements (n), 3 is the the number of elements drawn or choosen at a time (k), 220 is the total number of possible combination (C). 12C3 Points to Remember:

• 12 CHOOSE 3 can also be denoted as 12C3.
• Draw 3 out of 12 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.
• In 220 possible combinations, AB and BA are not considered as different events.
• AB and BA considered as a single combination in 220 events.

For values other than 12 choose 3, use this below tool: CHOOSE SUBMIT

How-to find nCk: 12 CHOOSE 3?

12C3 is the type of nCr or nCk problem. The below 12 choose 3 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 3 elements at a time from 12 distinct elements without considering the order of elements.

Solved Example: : what is 12 choose 3? 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) = 3 What to be found: Find the total number of possible combinations while choosing 3 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 3: 3! = 1 x 2 x 3 step 4 Find the factorial of difference between 12 and 3: (12 - 3)! = 9! 9! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 step 5 Apply the values of 12!, 3! and 9! in the nCk formula: nCk = n!/k! (n - k)! 12C3 =12!/3! x 9! =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 3) x (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) step 6 Simplify the above 12C3 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 3) x (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) = 10 x 11 x 12/6 = 1320/6 12C3 = 220Hence,12 choose 3 equals to 220

More Expert Resources

• average of first 10 numbers
• 2/5 divided by 2
• 5C2: 5 choose 2
• 5 days from today
• LCM of 3, 4 and 5
• 60% of 30

Step-by-step Work

• 0.15 as a fraction
• 7/3 as a decimal
• 2/3 times 2/3
• 1/2 + 1/8 equals to
• 1/2 minus 1/4 equals to
• 7/49 simplified in lowest terms

Explore More

• 11C2: 11 choose 2
• 11C3: 11 choose 3
• 11C4: 11 choose 4
• 12C2: 12 choose 2
• 12C4: 12 choose 4
• 13C2: 13 choose 2